{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "import math\n",
    "from math import sqrt\n",
    "from collections import defaultdict\n",
    "def ParseDataFromFile(f):\n",
    "    for l in open(f):\n",
    "        yield eval(l)\n",
    "data=list(ParseDataFromFile(\"assignment1_data/train.json\"))\n",
    "np.random.shuffle(data) \n",
    "train=data[:100000]\n",
    "validate=data[100000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'businessID': 'B275723867',\n",
       " 'categories': [u'Used Car Dealer', u'Used Truck Dealer'],\n",
       " 'rating': 5.0,\n",
       " 'reviewHash': 'R040907377',\n",
       " 'reviewText': u'Thank you for good price on car. Joel was really good salesman.',\n",
       " 'reviewTime': u'Apr 1, 2013',\n",
       " 'unixReviewTime': 1364857114,\n",
       " 'userID': 'U373717041'}"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "train=data[:166666]\n",
    "validate=data[166666:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "UserS   = set()\n",
    "UserS2N = {}\n",
    "UserN2S = {}\n",
    "BuzS    = set()\n",
    "BuzS2N  = {}\n",
    "BuzN2S  = {}\n",
    "\n",
    "for i in data:\n",
    "    UserS.add(i['userID'])\n",
    "    BuzS.add(i['businessID'])\n",
    "    \n",
    "j=0\n",
    "for i in UserS:\n",
    "    UserS2N[i]=j\n",
    "    UserN2S[j]=i\n",
    "    j+=1\n",
    "\n",
    "j=0\n",
    "for i in BuzS:\n",
    "    BuzS2N[i]=j\n",
    "    BuzN2S[j]=i\n",
    "    j+=1\n",
    "\n",
    "Usert_T   = defaultdict(int);Buzt_T    = defaultdict(int)\n",
    "for i in train:\n",
    "    Usert_T[i['userID']]+=1;Buzt_T[i['businessID']]+=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "UserBlist_T=defaultdict(list);BuzUlist_T =defaultdict(list)\n",
    "for i in train:\n",
    "    u=UserS2N[i['userID']];b=BuzS2N[i['businessID']]\n",
    "    UserBlist_T[u].append(b)\n",
    "    BuzUlist_T[b].append(u)\n",
    "\n",
    "UserBlist=defaultdict(list);BuzUlist =defaultdict(list)\n",
    "for i in data:\n",
    "    u=UserS2N[i['userID']];b=BuzS2N[i['businessID']]\n",
    "    UserBlist[u].append(b)\n",
    "    BuzUlist[b].append(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "pairs_V={}\n",
    "for i in validate:\n",
    "    u=UserS2N[i['userID']];b=BuzS2N[i['businessID']];r=i['rating']\n",
    "    pairs_V[(u,b)]=r"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "alpha_T=sum([i['rating'] for i in train])/len(train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.858916119105\n"
     ]
    }
   ],
   "source": [
    "MSE0=math.sqrt(sum([(i['rating']-alpha_T)**2 for i in validate])/len(validate))\n",
    "print MSE0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "K=20"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Beta bu bi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "ubr_T=defaultdict(list)# dict{ userID int: (ubuzID rating) } \n",
    "bur_T=defaultdict(list)# dict{  buzID int: (userIDrating) } \n",
    "for i in train:\n",
    "    u=UserS2N[i['userID']]\n",
    "    b=BuzS2N[i['businessID']]\n",
    "    r=i['rating']\n",
    "    ubr_T[u].append((b,r))\n",
    "    bur_T[b].append((u,r))\n",
    "\n",
    "ubr=defaultdict(list)# dict{ userID int: (userID buzID rating) } \n",
    "bur=defaultdict(list)# dict{  buzID int: (userID buzID rating) } \n",
    "for i in data:\n",
    "    u=UserS2N[i['userID']]\n",
    "    b=BuzS2N[i['businessID']]\n",
    "    r=i['rating']\n",
    "    ubr[u].append((b,r))\n",
    "    bur[b].append((u,r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "distri={0:0,1:0,2:0,3:0,4:0,5:0}\n",
    "for u in ubr:\n",
    "    for (b,r) in ubr[u]:\n",
    "        distri[int(r)]+=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 1, 1: 1764, 2: 6569, 3: 29108, 4: 78119, 5: 84439}"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distri"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "1764 6569 29108 78119 84439"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt  # Matlab-style plotting\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "def ignore_warn(*args, **kwargs):\n",
    "    pass\n",
    "warnings.warn = ignore_warn #ignore annoying warning (from sklearn and seaborn)\n",
    "from scipy import stats\n",
    "from scipy.stats import norm,gamma, skew #for some statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=[1]*177+[2]*657+[3]*2911+[4]*7812+[5]*8444"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'col1': a})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>col1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   col1\n",
       "0     1\n",
       "1     1\n",
       "2     1\n",
       "3     1\n",
       "4     1"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,u'Rating distribution')"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pU/nFL35BVlYWTz75ZK/32R1tY7vmmms444wz2LVrF0lJSTz++OPMnj2bK6+8kpycHCZP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\ntX9Zy19vmNVujCJPUVX+Z8U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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1295f2b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(df['col1'] , fit=norm);#别的分布？\n",
    "\n",
    "(mu, sigma) = norm.fit(df['col1'])\n",
    "plt.legend(['Normal dist. ($\\mu=$ {:.2f} and $\\sigma=$ {:.2f} )'.format(mu, sigma)],loc='best')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Rating distribution')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " mu = 38.76 and sigma = 22.82\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,u'Rating distribution')"
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ktXqf6FrXYRpXO0UEUIqzFPK+qpaoajWwBpjhxbwaY4zpgjeDxUZgnIikiUgA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\nLVqKzAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12ad17290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#We use the numpy fuction log1p which  applies log(1+x) to all elements of the column\n",
    "#df[\"col2\"] = np.log1p(df[\"col1\"]+1000)\n",
    "df[\"col2\"] = (df[\"col1\"]-1)**3\n",
    "#Check the new distribution \n",
    "sns.distplot(df['col2'] , fit=norm);\n",
    "\n",
    "# Get the fitted parameters used by the function\n",
    "(mu, sigma) = norm.fit(df['col2'])\n",
    "print( '\\n mu = {:.2f} and sigma = {:.2f}\\n'.format(mu, sigma))\n",
    "\n",
    "#Now plot the distribution\n",
    "plt.legend(['Normal dist. ($\\mu=$ {:.2f} and $\\sigma=$ {:.2f} )'.format(mu, sigma)],\n",
    "            loc='best')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Rating distribution')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fx(x):\n",
    "    return (x-1)**3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9473684210526316"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(fx(5)-fx(4))*1.0/(fx(4)-fx(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [],
   "source": [
    "#全体数据\n",
    "bu=[0]*len(UserS)# list: average rating float\n",
    "bi=[0]*len(BuzS)\n",
    "alpha_T=sum([i['rating'] for i in data])/len(data)\n",
    "for u in ubr:\n",
    "    #if len(ubr[i])!=0:\n",
    "    bu[u]=sum([i[1] for i in ubr[u]])*1.0/len(ubr[u])\n",
    "for b in bur:\n",
    "    #if len(BuzRlist[i])!=0:\n",
    "    bi[b]=sum([i[1] for i in bur[b]])*1.0/len(bur[b])\n",
    "bu=np.array(bu)\n",
    "bi=np.array(bi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gamma gu gi\n",
    "\n",
    "正数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [],
   "source": [
    "gu=np.matrix( [[((random.random())-0.5)/sqrt(K) for j in range(K)] for i in range(len(UserS))] )\n",
    "gi=np.matrix( [[((random.random())-0.5)/sqrt(K) for j in range(K)] for i in range(len(BuzS))]  )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.020889150051697357"
      ]
     },
     "execution_count": 169,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gu[0,0]*gi[0,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [],
   "source": [
    "def testmse():\n",
    "    MSE1=0;cskip=0\n",
    "    for i in pairs_V:\n",
    "        u=i[0];b=i[1];r=pairs_V[i]\n",
    "        if bu[u]==0 or bi[b]==0:\n",
    "            cskip+=1\n",
    "            continue\n",
    "        MSE1+= (r - alpha_T - bi[b] -bu[u]-pro(u,b,K,-1))**2\n",
    "    print cskip\n",
    "    MSE1/=(len(validate)-cskip)\n",
    "    MSE1 = math.sqrt(MSE1)\n",
    "    print \"RMSE: \",MSE1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [],
   "source": [
    "#全体数据了！\n",
    "def pro(u,b,K,j):\n",
    "    ans=float(gu[u]*gi[b].T)\n",
    "    if j==-1:\n",
    "        return ans\n",
    "    else:\n",
    "        return ans-gu[u,j]*gi[b,j]#numpy的操作\n",
    "\n",
    "def ALS(lam):#输入alpha_T,train\n",
    "    global alpha_T\n",
    "    alphaold1=0\n",
    "    count1=0\n",
    "    while (abs(alpha_T-alphaold1)>1e-6):\n",
    "        print '!'\n",
    "        count1+=1\n",
    "        alphaold1=alpha_T\n",
    "        \n",
    "        alphaold2=0\n",
    "        count2=0\n",
    "       \n",
    "        while (abs(alpha_T-alphaold2)>1e-4):\n",
    "            if count2>3:\n",
    "                break\n",
    "            alphaold2=alpha_T\n",
    "            alpha_T=sum([ sum(r-bu[u]-bi[b]-pro(u,b,K,-1) for (b,r) in ubr[u]) for u in ubr])/len(data)\n",
    "            for u in ubr:\n",
    "                bu[u]=sum( r-alpha_T-bi[b] -pro(u,b,K,-1) for (b,r) in ubr[u] )/(lam+len(ubr[u]))\n",
    "            for b in bur:\n",
    "                bi[b]=sum( r-alpha_T-bu[u] -pro(u,b,K,-1) for (u,r) in bur[b] )/(lam+len(bur[b]))\n",
    "            for u in ubr:\n",
    "                tmp0=np.zeros((1,K)) ;tmp1=np.ones((1,K))*lam\n",
    "                for (b,r) in ubr[u]:\n",
    "                    tmp0+=(np.array(r-alpha_T-bi[b]-bu[u]-pro(u,b,K,-1)) + np.array(gu[u])*np.array(gi[b]) ) * np.array(gi[b]) \n",
    "                    tmp1+=np.array(gi[b])**2\n",
    "                gu[u]=np.array(tmp0)/np.array(tmp1)\n",
    "#                 for k in range(K):\n",
    "#                     tmp0=sum( ( r-alpha_T-bi[b]-bu[u]-pro(u,b,K,k) )*gi[b,k] for (b,r) in ubr[u])\n",
    "#                     tmp1=lam+sum(gi[b,k]**2 for (b,r) in ubr[u])\n",
    "#                     gu[u,k]=tmp0/tmp1\n",
    "            count2+=1\n",
    "            print \"first: \",alpha_T-alphaold2\n",
    "        \n",
    "        count3=0\n",
    "        alphaold2=0\n",
    "        while (abs(alpha_T-alphaold2)>1e-4):\n",
    "            if count3>4:\n",
    "                break\n",
    "            alphaold2=alpha_T\n",
    "            alpha_T=sum([ sum(r-bu[u]-bi[b]-pro(u,b,K,-1) for (b,r) in ubr[u]) for u in ubr])/len(data)\n",
    "            for u in ubr:\n",
    "                bu[u]=sum( r-alpha_T-bi[b] -pro(u,b,K,-1) for (b,r) in ubr[u] )/(lam+len(ubr[u]))\n",
    "            for b in bur:\n",
    "                bi[b]=sum( r-alpha_T-bu[u] -pro(u,b,K,-1) for (u,r) in bur[b] )/(lam+len(bur[b]))\n",
    "            for b in bur:\n",
    "                tmp0=np.zeros((1,K)) ;tmp1=np.ones((1,K))*lam\n",
    "                #tmp0=np.zeros(K) ;tmp1=np.ones(K)*lam\n",
    "                for (u,r) in bur[b]:\n",
    "                    tmp0+=(np.array(r-alpha_T-bi[b]-bu[u]-pro(u,b,K,-1)) + np.array(gu[u])*np.array(gi[b])) * np.array(gu[u])\n",
    "                    tmp1+=np.array(gu[u])**2\n",
    "                gi[b]=np.array(tmp0)/np.array(tmp1)\n",
    "                \n",
    "#                 for k in range(K):\n",
    "#                     tmp0=sum( ( r-alpha_T-bi[b]-bu[u]-pro(u,b,K,k) )*gu[u,k] for (u,r) in bur[b])\n",
    "#                     tmp1=lam+sum(gu[u,k]**2 for (u,r) in bur[b])\n",
    "#                     gi[b,k]=tmp0/tmp1\n",
    "            count3+=1\n",
    "            print \"second: \",alpha_T-alphaold2\n",
    "        print \"inner loop:\",count2,count3\n",
    "        testmse()\n",
    "    print \"outter loop: \",count1,\" alpha_diff: \",alpha_T-alphaold1\n",
    "        \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4, -4.0148726755265276)"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K,alpha_T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [],
   "source": [
    "ALS(0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "RMSE:  0.465115613484\n"
     ]
    }
   ],
   "source": [
    "testmse()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "#训练数据\n",
    "bu=[0]*len(UserS)# list: average rating float\n",
    "bi=[0]*len(BuzS)\n",
    "alpha_T=sum([i['rating'] for i in train])/len(train)\n",
    "for u in ubr_T:\n",
    "    #if len(ubr[i])!=0:\n",
    "    bu[u]=sum([i[1] for i in ubr_T[u]])*1.0/len(ubr_T[u])\n",
    "for b in bur_T:\n",
    "    #if len(BuzRlist[i])!=0:\n",
    "    bi[b]=sum([i[1] for i in bur_T[b]])*1.0/len(bur_T[b])\n",
    "bu=np.array(bu)\n",
    "bi=np.array(bi)\n",
    "gu=np.matrix( [[((random.random())-0.5)/sqrt(K) for j in range(K)] for i in range(len(UserS))] )\n",
    "gi=np.matrix( [[((random.random())-0.5)/sqrt(K) for j in range(K)] for i in range(len(BuzS))]  )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [],
   "source": [
    "#训练数据\n",
    "def pro(u,b,K,j):\n",
    "    ans=float(gu[u]*gi[b].T)\n",
    "    if j==-1:\n",
    "        return ans\n",
    "    else:\n",
    "        return ans-gu[u,j]*gi[b,j]#numpy的操作\n",
    "\n",
    "def ALS_T(lam):\n",
    "    global alpha_T\n",
    "    alphaold1=0\n",
    "    count1=0\n",
    "    while (abs(alpha_T-alphaold1)>1e-6):\n",
    "        print '!'\n",
    "        count1+=1\n",
    "        alphaold1=alpha_T\n",
    "        \n",
    "        alphaold2=0\n",
    "        count2=0\n",
    "        while (abs(alpha_T-alphaold2)>1e-4):\n",
    "            alphaold2=alpha_T\n",
    "            alpha_T=sum([ sum(r-bu[u]-bi[b]-pro(u,b,K,-1) for (b,r) in ubr_T[u]) for u in ubr_T])/len(train)\n",
    "            for u in ubr_T:\n",
    "                bu[u]=sum( r-alpha_T-bi[b] -pro(u,b,K,-1) for (b,r) in ubr_T[u] )/(lam+len(ubr_T[u]))\n",
    "            for b in bur_T:\n",
    "                bi[b]=sum( r-alpha_T-bu[u] -pro(u,b,K,-1) for (u,r) in bur_T[b] )/(lam+len(bur_T[b]))\n",
    "            for u in ubr_T:\n",
    "                for k in range(K):\n",
    "                    tmp0=sum( ( r-alpha_T-bi[b]-bu[u]-pro(u,b,K,k) )*gi[b,k] for (b,r) in ubr_T[u])\n",
    "                    tmp1=lam+sum(gi[b,k]**2 for (b,r) in ubr_T[u])\n",
    "                    gu[u,k]=tmp0/tmp1\n",
    "            count2+=1\n",
    "            print \"first: \",alpha_T-alphaold2\n",
    "        \n",
    "        count3=0\n",
    "        alphaold2=0\n",
    "        while (abs(alpha_T-alphaold2)>1e-4):\n",
    "            alphaold2=alpha_T\n",
    "            alpha_T=sum([ sum(r-bu[u]-bi[b]-pro(u,b,K,-1) for (b,r) in ubr_T[u]) for u in ubr_T])/len(train)\n",
    "            for u in ubr_T:\n",
    "                bu[u]=sum( r-alpha_T-bi[b] -pro(u,b,K,-1) for (b,r) in ubr_T[u] )/(lam+len(ubr_T[u]))\n",
    "            for b in bur_T:\n",
    "                bi[b]=sum( r-alpha_T-bu[u] -pro(u,b,K,-1) for (u,r) in bur_T[b] )/(lam+len(bur_T[b]))\n",
    "            for b in bur_T:\n",
    "                for k in range(K):\n",
    "                    tmp0=sum( ( r-alpha_T-bi[b]-bu[u]-pro(u,b,K,k) )*gu[u,k] for (u,r) in bur_T[b])\n",
    "                    tmp1=lam+sum(gu[u,k]**2 for (u,r) in bur_T[b])\n",
    "                    gi[b,k]=tmp0/tmp1\n",
    "            count3+=1\n",
    "            print \"second: \",alpha_T-alphaold2\n",
    "        print \"inner loop:\",count2,count3\n",
    "        testmse()\n",
    "    print \"outter loop: \",count1,\" alpha_diff: \",alpha_T-alphaold1\n",
    "        \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4, -3.3145190298932641)"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K,alpha_T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "!\n",
      "first:  0.145685535934\n",
      "first:  0.14422010614\n",
      "first:  0.14269403959\n",
      "first:  0.141114048311\n",
      "first:  0.139485150801\n",
      "first:  0.137811928983\n",
      "first:  0.136098786688\n",
      "first:  0.134349976331\n",
      "first:  0.132569583202\n",
      "first:  0.130761509947\n",
      "first:  0.128929467931\n",
      "first:  0.127076974544\n",
      "first:  0.125207354555\n",
      "first:  0.123323744043\n",
      "first:  0.121429095891\n",
      "first:  0.119526186212\n",
      "first:  0.117617621273\n",
      "first:  0.115705844671\n",
      "first:  0.113793144561\n",
      "first:  0.111881660835\n",
      "first:  0.109973392165\n",
      "first:  0.108070202858\n",
      "first:  0.106173829504\n",
      "first:  0.10428588738\n",
      "first:  0.102407876612\n",
      "first:  0.100541188085\n",
      "first:  0.098687109105\n",
      "first:  0.0968468288069\n",
      "first:  0.0950214433305\n",
      "first:  0.0932119607545\n",
      "first:  0.0914193058054\n",
      "first:  0.0896443243473\n",
      "first:  0.0878877876604\n",
      "first:  0.0861503965179\n",
      "first:  0.0844327850687\n",
      "first:  0.0827355245356\n",
      "first:  0.081059126735\n",
      "first:  0.0794040474288\n",
      "first:  0.0777706895136\n",
      "first:  0.0761594060563\n",
      "first:  0.0745705031818\n",
      "first:  0.0730042428212\n",
      "first:  0.0714608453245\n",
      "first:  0.0699404919474\n",
      "first:  0.0684433272141\n",
      "first:  0.0669694611655\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-187-3c6543575b8b>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mALS_T\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0.3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m<ipython-input-182-fb41e77f09d1>\u001b[0m in \u001b[0;36mALS_T\u001b[0;34m(lam)\u001b[0m\n\u001b[1;32m     20\u001b[0m         \u001b[0;32mwhile\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0malphaold2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m>\u001b[0m\u001b[0;36m1e-4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     21\u001b[0m             \u001b[0malphaold2\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 22\u001b[0;31m             \u001b[0malpha_T\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m \u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mpro\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mu\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     23\u001b[0m             \u001b[0;32mfor\u001b[0m \u001b[0mu\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     24\u001b[0m                 \u001b[0mbu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0mpro\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlam\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-182-fb41e77f09d1>\u001b[0m in \u001b[0;36m<genexpr>\u001b[0;34m((b, r))\u001b[0m\n\u001b[1;32m     20\u001b[0m         \u001b[0;32mwhile\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0malphaold2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m>\u001b[0m\u001b[0;36m1e-4\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     21\u001b[0m             \u001b[0malphaold2\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 22\u001b[0;31m             \u001b[0malpha_T\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m \u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mpro\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mu\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtrain\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     23\u001b[0m             \u001b[0;32mfor\u001b[0m \u001b[0mu\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     24\u001b[0m                 \u001b[0mbu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0malpha_T\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mbi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0mpro\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlam\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mubr_T\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-182-fb41e77f09d1>\u001b[0m in \u001b[0;36mpro\u001b[0;34m(u, b, K, j)\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;31m#训练数据\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mpro\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m     \u001b[0mans\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mgi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mj\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mans\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "ALS_T(0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.2246373480958237"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# k =1\n",
    "#RMSE:  0.75668\n",
    "#alpha_T=4.2246373480958237\n",
    "#bu  0.05382582,  0.22534968, -0.23802831,\n",
    "#bi  0.48463682,  0.41892064,  0.27678282\n",
    "#gu   -0.0029268 -0.036922206 -0.25349449\n",
    "#gi -0.064 -0.05 0.27\n",
    "\n",
    "#on data:\n",
    "#RMSE:  0.763286476584"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "176\n",
      "RMSE:  0.910025388736\n"
     ]
    }
   ],
   "source": [
    "testmse()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 3.83899373701\n",
      "1 4.18760592705\n",
      "1 4.29900706045\n",
      "0 3.93463090536\n",
      "1 3.81346523615\n",
      "1 4.09648651921\n",
      "0 3.79692734585\n",
      "1 4.32939900717\n",
      "0 4.25563895959\n",
      "1 3.96686346122\n",
      "1 4.27162853303\n",
      "1 4.301499129\n",
      "0 4.35514989225\n",
      "0 4.1987562243\n",
      "0 4.01347793736\n",
      "0 4.24277659333\n",
      "0 4.06271780178\n",
      "1 3.88651673817\n",
      "1 4.35099158864\n",
      "0 4.50741019312\n",
      "1 4.40378234927\n",
      "0 4.4159100373\n",
      "1 3.84425622271\n",
      "0 4.30585959163\n",
      "11 13\n"
     ]
    }
   ],
   "source": [
    "#noUnoB=0\n",
    "noUyesB=0\n",
    "yesUnoB=0\n",
    "predictions = open(\"predictions_Rating.txt\", 'w')\n",
    "\n",
    "for l in open(\"pairs_Rating.txt\"):\n",
    "    if l.startswith(\"userID\"):\n",
    "        #header\n",
    "        predictions.write(l)\n",
    "        continue\n",
    "    u,b = l.strip().split('-')\n",
    "    predictions.write(u + '-' + b + ',')\n",
    "#     if u not in UserS2N and b not in BuzS2N: # 0\n",
    "#         noUandB+=1\n",
    "    if u not in UserS and b in BuzS: #11\n",
    "        #tmp=sum(BuzRlist[BuzS2N[b]])*1.0/len(BuzRlist[BuzS2N[b]])\n",
    "        b = BuzS2N[b]\n",
    "        tmp=alpha_T+bi[b]\n",
    "        if tmp>5:\n",
    "            tmp=5\n",
    "        \n",
    "        predictions.write(str(tmp) + '\\n')\n",
    "        print '0',tmp\n",
    "        noUyesB+=1\n",
    "        continue\n",
    "    if u in UserS and b not in BuzS:#13\n",
    "        #tmp=sum(UserRlist[UserS2N[u]])*1.0/len(UserRlist[UserS2N[u]])\n",
    "        u = UserS2N[u]\n",
    "        tmp=alpha_T+bu[u]\n",
    "        if tmp>5:\n",
    "            tmp=5\n",
    "        predictions.write(str(tmp) + '\\n')  \n",
    "        print '1',tmp\n",
    "        yesUnoB+=1  \n",
    "        continue\n",
    "    \n",
    "   \n",
    "    u = UserS2N[u]\n",
    "    b = BuzS2N[b]\n",
    "    tmp=alpha_T+bu[u]+bi[b]+float(gu[u]*gi[b].T)\n",
    "    if tmp>5:\n",
    "        tmp=5\n",
    "    if tmp<1:\n",
    "        tmp=1\n",
    "        print \"<1\" \n",
    "    predictions.write(str(tmp) + '\\n')\n",
    "predictions.close()\n",
    "print noUyesB,yesUnoB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(list,\n",
       "            {0: [(20959, 5.0),\n",
       "              (13008, 4.0),\n",
       "              (16061, 4.0),\n",
       "              (9606, 5.0),\n",
       "              (14462, 3.0),\n",
       "              (5840, 4.0)],\n",
       "             1: [(6799, 5.0),\n",
       "              (802, 5.0),\n",
       "              (14082, 5.0),\n",
       "              (17199, 5.0),\n",
       "              (6406, 4.0)],\n",
       "             2: [(482, 4.0),\n",
       "              (2561, 5.0),\n",
       "              (4071, 4.0),\n",
       "              (16756, 4.0),\n",
       "              (4582, 4.0)],\n",
       "             3: [(18513, 3.0), (16487, 3.0), (1878, 5.0), (9128, 4.0)],\n",
       "             4: [(19241, 5.0),\n",
       "              (14810, 5.0),\n",
       "              (13599, 5.0),\n",
       "              (1694, 5.0),\n",
       "              (10744, 5.0),\n",
       "              (3510, 5.0)],\n",
       "             5: [(2556, 3.0),\n",
       "              (9824, 5.0),\n",
       "              (9273, 5.0),\n",
       "              (14068, 3.0),\n",
       "              (744, 4.0),\n",
       "              (4017, 4.0),\n",
       "              (6991, 4.0)],\n",
       "             6: [(3650, 5.0),\n",
       "              (5756, 5.0),\n",
       "              (20822, 5.0),\n",
       "              (19789, 5.0),\n",
       "              (12323, 5.0),\n",
       "              (14375, 5.0),\n",
       "              (3427, 5.0)],\n",
       "             7: [(9524, 5.0),\n",
       "              (617, 5.0),\n",
       "              (12890, 2.0),\n",
       "              (7680, 4.0),\n",
       "              (18726, 3.0)],\n",
       "             8: [(14165, 4.0),\n",
       "              (1418, 4.0),\n",
       "              (18309, 5.0),\n",
       "              (14188, 5.0),\n",
       "              (2254, 4.0),\n",
       "              (13898, 4.0),\n",
       "              (17910, 4.0),\n",
       "              (17595, 4.0),\n",
       "              (1309, 5.0),\n",
       "              (8533, 5.0),\n",
       "              (9537, 3.0),\n",
       "              (1692, 5.0),\n",
       "              (13082, 2.0),\n",
       "              (10249, 4.0),\n",
       "              (18311, 5.0),\n",
       "              (18706, 5.0),\n",
       "              (9849, 4.0),\n",
       "              (11018, 3.0),\n",
       "              (12828, 4.0),\n",
       "              (16306, 4.0),\n",
       "              (12245, 4.0),\n",
       "              (10626, 5.0),\n",
       "              (12578, 5.0),\n",
       "              (13608, 4.0),\n",
       "              (16784, 4.0),\n",
       "              (12609, 5.0),\n",
       "              (6166, 4.0),\n",
       "              (4639, 5.0),\n",
       "              (5765, 3.0),\n",
       "              (14719, 3.0),\n",
       "              (5910, 5.0),\n",
       "              (3577, 5.0),\n",
       "              (3527, 5.0),\n",
       "              (17183, 5.0),\n",
       "              (6616, 5.0),\n",
       "              (17805, 4.0),\n",
       "              (6034, 4.0),\n",
       "              (21256, 4.0),\n",
       "              (15599, 5.0),\n",
       "              (13464, 5.0),\n",
       "              (1108, 5.0),\n",
       "              (16672, 5.0),\n",
       "              (789, 5.0),\n",
       "              (15423, 4.0),\n",
       "              (8640, 4.0),\n",
       "              (5272, 5.0),\n",
       "              (17675, 5.0),\n",
       "              (9584, 5.0),\n",
       "              (8930, 5.0),\n",
       "              (13669, 4.0),\n",
       "              (17175, 3.0)],\n",
       "             9: [(20978, 5.0),\n",
       "              (19439, 4.0),\n",
       "              (11695, 5.0),\n",
       "              (9126, 3.0),\n",
       "              (20816, 4.0)],\n",
       "             10: [(5787, 2.0), (18831, 5.0), (1543, 4.0)],\n",
       "             11: [(9189, 5.0),\n",
       "              (15079, 5.0),\n",
       "              (7559, 5.0),\n",
       "              (17086, 4.0),\n",
       "              (20521, 4.0)],\n",
       "             12: [(15319, 5.0), (11834, 4.0), (10529, 3.0)],\n",
       "             13: [(17011, 3.0),\n",
       "              (16686, 5.0),\n",
       "              (5284, 4.0),\n",
       "              (19746, 5.0),\n",
       "              (17170, 5.0)],\n",
       "             14: [(6872, 4.0), (7579, 5.0), (16128, 5.0)],\n",
       "             15: [(2317, 4.0), (7777, 5.0), (6049, 3.0), (18613, 5.0)],\n",
       "             16: [(8144, 4.0),\n",
       "              (14709, 4.0),\n",
       "              (3090, 4.0),\n",
       "              (19014, 4.0),\n",
       "              (1290, 3.0),\n",
       "              (14025, 4.0),\n",
       "              (14260, 5.0),\n",
       "              (1190, 3.0),\n",
       "              (6734, 5.0),\n",
       "              (18114, 4.0),\n",
       "              (21207, 4.0),\n",
       "              (14894, 5.0),\n",
       "              (2799, 5.0),\n",
       "              (2325, 4.0),\n",
       "              (5914, 3.0),\n",
       "              (15911, 3.0),\n",
       "              (699, 4.0),\n",
       "              (1812, 4.0),\n",
       "              (16192, 4.0)],\n",
       "             17: [(18123, 5.0),\n",
       "              (12162, 3.0),\n",
       "              (14157, 5.0),\n",
       "              (8889, 5.0),\n",
       "              (14651, 5.0),\n",
       "              (16622, 4.0),\n",
       "              (4787, 4.0),\n",
       "              (15329, 4.0),\n",
       "              (7703, 5.0),\n",
       "              (3198, 4.0),\n",
       "              (15188, 5.0),\n",
       "              (14790, 5.0),\n",
       "              (11910, 4.0),\n",
       "              (1478, 5.0),\n",
       "              (12247, 5.0),\n",
       "              (9273, 5.0),\n",
       "              (15339, 4.0),\n",
       "              (4956, 3.0),\n",
       "              (4550, 5.0),\n",
       "              (10248, 5.0),\n",
       "              (1524, 5.0)],\n",
       "             18: [(10550, 3.0), (7536, 3.0)],\n",
       "             19: [(12910, 5.0), (12878, 5.0), (16623, 4.0), (18686, 5.0)],\n",
       "             20: [(14165, 4.0),\n",
       "              (11673, 4.0),\n",
       "              (18272, 5.0),\n",
       "              (3425, 4.0),\n",
       "              (12785, 4.0),\n",
       "              (13437, 4.0)],\n",
       "             21: [(8920, 5.0), (21068, 5.0), (11247, 5.0)],\n",
       "             22: [(18327, 5.0),\n",
       "              (1298, 4.0),\n",
       "              (17836, 3.0),\n",
       "              (11194, 4.0),\n",
       "              (1490, 5.0)],\n",
       "             23: [(5306, 5.0),\n",
       "              (17441, 4.0),\n",
       "              (461, 4.0),\n",
       "              (16920, 4.0),\n",
       "              (10922, 5.0),\n",
       "              (8379, 4.0)],\n",
       "             24: [(17860, 3.0), (5746, 4.0), (18861, 5.0), (8259, 4.0)],\n",
       "             25: [(3928, 5.0),\n",
       "              (9818, 4.0),\n",
       "              (8519, 5.0),\n",
       "              (16444, 5.0),\n",
       "              (6039, 4.0),\n",
       "              (13798, 5.0),\n",
       "              (6677, 5.0),\n",
       "              (1623, 4.0),\n",
       "              (13030, 5.0),\n",
       "              (2612, 5.0),\n",
       "              (17248, 4.0)],\n",
       "             26: [(4804, 4.0), (3169, 1.0), (18899, 5.0)],\n",
       "             27: [(4208, 5.0),\n",
       "              (21175, 5.0),\n",
       "              (6355, 4.0),\n",
       "              (101, 5.0),\n",
       "              (7048, 5.0),\n",
       "              (17604, 3.0),\n",
       "              (5468, 2.0),\n",
       "              (15490, 3.0)],\n",
       "             28: [(6119, 3.0),\n",
       "              (6061, 4.0),\n",
       "              (15052, 5.0),\n",
       "              (6823, 2.0),\n",
       "              (15055, 4.0),\n",
       "              (2164, 3.0),\n",
       "              (16563, 5.0)],\n",
       "             29: [(18931, 5.0), (6664, 5.0), (1501, 5.0), (8572, 5.0)],\n",
       "             30: [(19241, 4.0),\n",
       "              (6876, 2.0),\n",
       "              (14577, 4.0),\n",
       "              (11551, 4.0),\n",
       "              (17926, 5.0),\n",
       "              (17280, 4.0)],\n",
       "             31: [(16094, 5.0), (7339, 4.0)],\n",
       "             32: [(20635, 5.0),\n",
       "              (9635, 5.0),\n",
       "              (21043, 5.0),\n",
       "              (16776, 4.0),\n",
       "              (3490, 5.0),\n",
       "              (21051, 5.0),\n",
       "              (14248, 5.0)],\n",
       "             33: [(1588, 3.0), (13727, 4.0), (20455, 4.0)],\n",
       "             34: [(16226, 4.0),\n",
       "              (1099, 3.0),\n",
       "              (748, 4.0),\n",
       "              (2499, 5.0),\n",
       "              (8553, 5.0),\n",
       "              (18403, 5.0),\n",
       "              (6895, 4.0)],\n",
       "             35: [(293, 4.0), (20112, 5.0), (10218, 4.0), (17297, 4.0)],\n",
       "             36: [(19857, 5.0),\n",
       "              (21150, 5.0),\n",
       "              (12627, 4.0),\n",
       "              (11383, 5.0),\n",
       "              (14722, 5.0),\n",
       "              (76, 5.0),\n",
       "              (19247, 4.0),\n",
       "              (9544, 5.0),\n",
       "              (20884, 4.0),\n",
       "              (14384, 4.0),\n",
       "              (13866, 5.0)],\n",
       "             37: [(19513, 4.0),\n",
       "              (8121, 4.0),\n",
       "              (15176, 3.0),\n",
       "              (15796, 4.0),\n",
       "              (17264, 5.0),\n",
       "              (6928, 5.0),\n",
       "              (15782, 5.0),\n",
       "              (658, 4.0),\n",
       "              (20552, 5.0),\n",
       "              (2001, 5.0),\n",
       "              (12050, 3.0),\n",
       "              (8451, 4.0),\n",
       "              (13537, 4.0),\n",
       "              (10106, 4.0),\n",
       "              (7891, 5.0),\n",
       "              (9584, 5.0),\n",
       "              (653, 4.0),\n",
       "              (14599, 4.0),\n",
       "              (19541, 4.0),\n",
       "              (8267, 5.0),\n",
       "              (13048, 5.0),\n",
       "              (12208, 5.0),\n",
       "              (13752, 4.0),\n",
       "              (5555, 3.0),\n",
       "              (15523, 2.0),\n",
       "              (1429, 3.0),\n",
       "              (2659, 3.0),\n",
       "              (11348, 4.0),\n",
       "              (20283, 4.0),\n",
       "              (4885, 3.0),\n",
       "              (4439, 4.0),\n",
       "              (10352, 5.0),\n",
       "              (17075, 4.0),\n",
       "              (4656, 3.0),\n",
       "              (17995, 1.0),\n",
       "              (611, 5.0),\n",
       "              (20868, 3.0)],\n",
       "             38: [(18328, 5.0),\n",
       "              (15512, 5.0),\n",
       "              (6182, 5.0),\n",
       "              (9262, 5.0),\n",
       "              (15305, 4.0)],\n",
       "             39: [(16927, 4.0), (9761, 5.0), (4340, 5.0), (3734, 4.0)],\n",
       "             40: [(18333, 3.0),\n",
       "              (11033, 3.0),\n",
       "              (4737, 3.0),\n",
       "              (9423, 3.0),\n",
       "              (4874, 2.0),\n",
       "              (6747, 3.0)],\n",
       "             41: [(16769, 4.0), (20306, 4.0)],\n",
       "             42: [(3881, 2.0),\n",
       "              (5096, 4.0),\n",
       "              (11167, 3.0),\n",
       "              (9859, 3.0),\n",
       "              (841, 4.0),\n",
       "              (17969, 3.0),\n",
       "              (14323, 5.0),\n",
       "              (20876, 3.0),\n",
       "              (7859, 4.0),\n",
       "              (11810, 4.0),\n",
       "              (19240, 3.0),\n",
       "              (2627, 3.0),\n",
       "              (3826, 3.0),\n",
       "              (8362, 5.0),\n",
       "              (18151, 3.0),\n",
       "              (20246, 4.0)],\n",
       "             43: [(14843, 4.0),\n",
       "              (1112, 4.0),\n",
       "              (11372, 4.0),\n",
       "              (13943, 5.0),\n",
       "              (18022, 4.0),\n",
       "              (9056, 4.0),\n",
       "              (11457, 4.0),\n",
       "              (4395, 5.0),\n",
       "              (19865, 5.0),\n",
       "              (19118, 4.0),\n",
       "              (17335, 3.0),\n",
       "              (12604, 5.0),\n",
       "              (10167, 5.0)],\n",
       "             44: [(13636, 4.0), (2860, 5.0), (12090, 3.0), (3826, 1.0)],\n",
       "             45: [(12794, 5.0),\n",
       "              (17699, 5.0),\n",
       "              (7937, 4.0),\n",
       "              (7651, 4.0),\n",
       "              (7229, 5.0),\n",
       "              (5355, 5.0)],\n",
       "             46: [(14022, 4.0),\n",
       "              (7345, 2.0),\n",
       "              (8209, 4.0),\n",
       "              (1571, 4.0),\n",
       "              (15844, 5.0)],\n",
       "             47: [(5804, 5.0),\n",
       "              (8103, 5.0),\n",
       "              (6037, 4.0),\n",
       "              (18306, 4.0),\n",
       "              (11075, 5.0)],\n",
       "             48: [(260, 5.0), (10130, 5.0), (11722, 5.0)],\n",
       "             49: [(7560, 5.0),\n",
       "              (3871, 5.0),\n",
       "              (426, 5.0),\n",
       "              (20582, 5.0),\n",
       "              (1383, 5.0),\n",
       "              (20088, 5.0),\n",
       "              (7451, 5.0),\n",
       "              (7581, 5.0),\n",
       "              (5811, 5.0)],\n",
       "             50: [(7393, 5.0),\n",
       "              (12433, 2.0),\n",
       "              (8247, 1.0),\n",
       "              (1959, 5.0),\n",
       "              (1538, 2.0),\n",
       "              (13541, 2.0)],\n",
       "             51: [(12062, 4.0), (8123, 4.0), (18320, 4.0)],\n",
       "             52: [(20086, 4.0),\n",
       "              (1816, 5.0),\n",
       "              (11942, 4.0),\n",
       "              (13550, 3.0),\n",
       "              (450, 3.0),\n",
       "              (12679, 4.0),\n",
       "              (3812, 5.0)],\n",
       "             53: [(16985, 3.0),\n",
       "              (9863, 5.0),\n",
       "              (1169, 3.0),\n",
       "              (10653, 5.0),\n",
       "              (7699, 3.0)],\n",
       "             54: [(12095, 4.0),\n",
       "              (1275, 3.0),\n",
       "              (18968, 5.0),\n",
       "              (12320, 5.0),\n",
       "              (14995, 2.0),\n",
       "              (3950, 4.0),\n",
       "              (2582, 4.0),\n",
       "              (9381, 4.0)],\n",
       "             55: [(2075, 5.0),\n",
       "              (12469, 3.0),\n",
       "              (2537, 5.0),\n",
       "              (11936, 5.0),\n",
       "              (2781, 5.0)],\n",
       "             56: [(20898, 4.0),\n",
       "              (4874, 5.0),\n",
       "              (11133, 4.0),\n",
       "              (5322, 4.0),\n",
       "              (18917, 4.0),\n",
       "              (13075, 4.0)],\n",
       "             57: [(1966, 4.0),\n",
       "              (9074, 3.0),\n",
       "              (16942, 5.0),\n",
       "              (2451, 5.0),\n",
       "              (4561, 5.0)],\n",
       "             58: [(9376, 3.0),\n",
       "              (18568, 4.0),\n",
       "              (9012, 5.0),\n",
       "              (8578, 3.0),\n",
       "              (1490, 5.0),\n",
       "              (11994, 5.0),\n",
       "              (11818, 3.0)],\n",
       "             59: [(1252, 5.0),\n",
       "              (17645, 4.0),\n",
       "              (14684, 5.0),\n",
       "              (18750, 5.0),\n",
       "              (12741, 4.0),\n",
       "              (10345, 5.0),\n",
       "              (3542, 5.0),\n",
       "              (18502, 5.0)],\n",
       "             60: [(3795, 4.0),\n",
       "              (15298, 4.0),\n",
       "              (13540, 4.0),\n",
       "              (18136, 4.0),\n",
       "              (19609, 4.0),\n",
       "              (17803, 4.0),\n",
       "              (20275, 3.0),\n",
       "              (3668, 5.0),\n",
       "              (12669, 4.0),\n",
       "              (4078, 4.0),\n",
       "              (683, 4.0),\n",
       "              (6367, 4.0),\n",
       "              (2398, 4.0),\n",
       "              (18359, 4.0),\n",
       "              (20311, 4.0),\n",
       "              (7297, 4.0),\n",
       "              (1430, 4.0),\n",
       "              (5425, 4.0),\n",
       "              (4674, 5.0),\n",
       "              (15309, 4.0),\n",
       "              (4693, 4.0),\n",
       "              (18905, 5.0),\n",
       "              (7392, 5.0),\n",
       "              (16938, 4.0)],\n",
       "             61: [(2682, 4.0), (11552, 4.0), (19914, 3.0), (11073, 4.0)],\n",
       "             62: [(9275, 2.0), (7159, 4.0), (3942, 2.0)],\n",
       "             63: [(6590, 5.0),\n",
       "              (4372, 5.0),\n",
       "              (7931, 5.0),\n",
       "              (20370, 4.0),\n",
       "              (6930, 2.0)],\n",
       "             64: [(6883, 5.0),\n",
       "              (14417, 5.0),\n",
       "              (20947, 5.0),\n",
       "              (15626, 3.0),\n",
       "              (19241, 4.0),\n",
       "              (17280, 4.0),\n",
       "              (173, 4.0)],\n",
       "             65: [(8020, 5.0),\n",
       "              (8167, 3.0),\n",
       "              (67, 5.0),\n",
       "              (7092, 4.0),\n",
       "              (11496, 5.0),\n",
       "              (19595, 5.0),\n",
       "              (16272, 4.0),\n",
       "              (18851, 5.0),\n",
       "              (19635, 5.0),\n",
       "              (16282, 5.0),\n",
       "              (13433, 5.0),\n",
       "              (13797, 3.0),\n",
       "              (1656, 5.0),\n",
       "              (7906, 3.0),\n",
       "              (19328, 5.0),\n",
       "              (492, 4.0),\n",
       "              (6375, 5.0),\n",
       "              (6866, 5.0),\n",
       "              (15149, 5.0),\n",
       "              (9012, 5.0),\n",
       "              (7417, 3.0),\n",
       "              (16936, 4.0),\n",
       "              (3707, 4.0),\n",
       "              (6664, 3.0),\n",
       "              (11715, 5.0),\n",
       "              (2731, 4.0),\n",
       "              (16220, 5.0),\n",
       "              (12034, 5.0),\n",
       "              (12831, 4.0),\n",
       "              (4119, 5.0),\n",
       "              (17405, 4.0),\n",
       "              (6622, 2.0),\n",
       "              (1405, 3.0),\n",
       "              (7166, 5.0),\n",
       "              (12407, 5.0),\n",
       "              (1759, 5.0),\n",
       "              (727, 5.0),\n",
       "              (11492, 5.0),\n",
       "              (7321, 4.0),\n",
       "              (2700, 5.0),\n",
       "              (20659, 5.0),\n",
       "              (12319, 4.0),\n",
       "              (15769, 4.0),\n",
       "              (2217, 5.0),\n",
       "              (823, 3.0),\n",
       "              (12348, 5.0),\n",
       "              (3129, 5.0),\n",
       "              (6997, 5.0),\n",
       "              (13177, 5.0),\n",
       "              (17471, 5.0),\n",
       "              (4930, 5.0),\n",
       "              (13937, 5.0),\n",
       "              (6684, 5.0),\n",
       "              (2644, 4.0),\n",
       "              (11584, 4.0),\n",
       "              (19900, 5.0),\n",
       "              (14461, 3.0),\n",
       "              (15383, 4.0),\n",
       "              (13351, 4.0),\n",
       "              (19706, 5.0),\n",
       "              (3886, 5.0),\n",
       "              (427, 5.0),\n",
       "              (20778, 4.0),\n",
       "              (13112, 5.0),\n",
       "              (9637, 5.0),\n",
       "              (1216, 5.0),\n",
       "              (9247, 3.0),\n",
       "              (2126, 4.0)],\n",
       "             66: [(11893, 5.0), (20613, 5.0), (10124, 5.0), (11783, 5.0)],\n",
       "             67: [(13187, 5.0),\n",
       "              (8368, 5.0),\n",
       "              (14305, 5.0),\n",
       "              (12495, 4.0),\n",
       "              (1762, 3.0),\n",
       "              (9285, 5.0)],\n",
       "             68: [(11363, 5.0),\n",
       "              (17319, 5.0),\n",
       "              (7547, 5.0),\n",
       "              (2478, 4.0),\n",
       "              (1141, 5.0)],\n",
       "             69: [(21147, 4.0),\n",
       "              (15395, 5.0),\n",
       "              (18905, 5.0),\n",
       "              (11299, 4.0),\n",
       "              (9424, 5.0),\n",
       "              (20086, 5.0),\n",
       "              (12846, 4.0),\n",
       "              (20771, 4.0),\n",
       "              (10230, 5.0)],\n",
       "             70: [(1040, 3.0),\n",
       "              (2478, 3.0),\n",
       "              (19164, 4.0),\n",
       "              (1141, 4.0),\n",
       "              (219, 4.0),\n",
       "              (10, 3.0)],\n",
       "             71: [(8577, 5.0), (13036, 4.0), (14094, 4.0), (6308, 4.0)],\n",
       "             72: [(6044, 5.0),\n",
       "              (2303, 5.0),\n",
       "              (12719, 3.0),\n",
       "              (16727, 5.0),\n",
       "              (8804, 5.0),\n",
       "              (21033, 4.0),\n",
       "              (15422, 2.0),\n",
       "              (3271, 4.0),\n",
       "              (13658, 4.0),\n",
       "              (7869, 3.0)],\n",
       "             73: [(4347, 4.0),\n",
       "              (15507, 3.0),\n",
       "              (1682, 3.0),\n",
       "              (10214, 3.0),\n",
       "              (2285, 4.0)],\n",
       "             74: [(4518, 5.0),\n",
       "              (15357, 5.0),\n",
       "              (4065, 5.0),\n",
       "              (9089, 5.0),\n",
       "              (13964, 5.0),\n",
       "              (8235, 5.0),\n",
       "              (4883, 5.0),\n",
       "              (15409, 4.0),\n",
       "              (17952, 4.0)],\n",
       "             75: [(9585, 4.0),\n",
       "              (9062, 4.0),\n",
       "              (12069, 5.0),\n",
       "              (15206, 4.0),\n",
       "              (1942, 5.0)],\n",
       "             76: [(7391, 5.0),\n",
       "              (6959, 4.0),\n",
       "              (6252, 5.0),\n",
       "              (4417, 4.0),\n",
       "              (6567, 4.0),\n",
       "              (3185, 5.0),\n",
       "              (16306, 5.0),\n",
       "              (3231, 2.0)],\n",
       "             77: [(15569, 4.0),\n",
       "              (2914, 4.0),\n",
       "              (1061, 4.0),\n",
       "              (8239, 5.0),\n",
       "              (4880, 4.0),\n",
       "              (2422, 3.0),\n",
       "              (9219, 4.0),\n",
       "              (5599, 4.0),\n",
       "              (16687, 4.0),\n",
       "              (6390, 3.0),\n",
       "              (16630, 3.0),\n",
       "              (4007, 5.0),\n",
       "              (17553, 3.0),\n",
       "              (17675, 5.0),\n",
       "              (11781, 4.0),\n",
       "              (21122, 4.0),\n",
       "              (19958, 4.0),\n",
       "              (18985, 4.0),\n",
       "              (15388, 4.0),\n",
       "              (4039, 4.0),\n",
       "              (13646, 5.0),\n",
       "              (1132, 4.0),\n",
       "              (14396, 4.0),\n",
       "              (443, 3.0),\n",
       "              (14407, 4.0),\n",
       "              (8304, 5.0),\n",
       "              (2254, 5.0),\n",
       "              (12217, 3.0),\n",
       "              (4395, 3.0),\n",
       "              (8127, 4.0)],\n",
       "             78: [(4495, 5.0),\n",
       "              (18334, 5.0),\n",
       "              (10878, 5.0),\n",
       "              (1029, 5.0),\n",
       "              (18064, 5.0),\n",
       "              (6636, 4.0),\n",
       "              (13690, 5.0)],\n",
       "             79: [(2176, 4.0),\n",
       "              (3913, 3.0),\n",
       "              (1811, 5.0),\n",
       "              (20527, 4.0),\n",
       "              (8459, 4.0),\n",
       "              (6121, 3.0),\n",
       "              (13990, 4.0)],\n",
       "             80: [(1624, 5.0), (20670, 3.0), (7713, 5.0)],\n",
       "             81: [(12047, 5.0),\n",
       "              (10230, 4.0),\n",
       "              (12573, 5.0),\n",
       "              (392, 5.0),\n",
       "              (9524, 5.0),\n",
       "              (19258, 5.0),\n",
       "              (488, 4.0),\n",
       "              (28, 5.0),\n",
       "              (5364, 5.0),\n",
       "              (5867, 5.0),\n",
       "              (17450, 5.0),\n",
       "              (328, 4.0)],\n",
       "             82: [(16306, 3.0), (11692, 5.0), (10713, 5.0), (5599, 2.0)],\n",
       "             83: [(13187, 4.0),\n",
       "              (3295, 4.0),\n",
       "              (1699, 5.0),\n",
       "              (17223, 5.0),\n",
       "              (17243, 5.0),\n",
       "              (17336, 5.0)],\n",
       "             84: [(18778, 5.0),\n",
       "              (14266, 5.0),\n",
       "              (17899, 5.0),\n",
       "              (5950, 5.0),\n",
       "              (5916, 5.0),\n",
       "              (9481, 5.0)],\n",
       "             85: [(12150, 3.0),\n",
       "              (11013, 4.0),\n",
       "              (4268, 4.0),\n",
       "              (14977, 5.0),\n",
       "              (5377, 5.0),\n",
       "              (429, 1.0),\n",
       "              (4863, 5.0),\n",
       "              (3074, 5.0)],\n",
       "             86: [(14196, 3.0),\n",
       "              (285, 5.0),\n",
       "              (20795, 2.0),\n",
       "              (11451, 3.0),\n",
       "              (1177, 5.0),\n",
       "              (10374, 4.0),\n",
       "              (19444, 4.0),\n",
       "              (10446, 5.0),\n",
       "              (11048, 5.0)],\n",
       "             87: [(17122, 3.0),\n",
       "              (4847, 5.0),\n",
       "              (15682, 3.0),\n",
       "              (4898, 2.0),\n",
       "              (18311, 2.0),\n",
       "              (12672, 4.0)],\n",
       "             88: [(430, 4.0),\n",
       "              (14014, 4.0),\n",
       "              (395, 4.0),\n",
       "              (7816, 4.0),\n",
       "              (7604, 4.0)],\n",
       "             89: [(3707, 5.0)],\n",
       "             90: [(8807, 5.0), (13200, 3.0), (10308, 2.0), (8063, 5.0)],\n",
       "             91: [(18511, 4.0),\n",
       "              (2753, 4.0),\n",
       "              (10667, 4.0),\n",
       "              (10436, 4.0),\n",
       "              (20790, 4.0),\n",
       "              (7307, 3.0),\n",
       "              (17299, 5.0),\n",
       "              (15400, 4.0),\n",
       "              (2490, 4.0),\n",
       "              (8874, 3.0),\n",
       "              (9806, 3.0),\n",
       "              (18851, 3.0),\n",
       "              (16220, 5.0),\n",
       "              (7060, 5.0),\n",
       "              (10519, 5.0),\n",
       "              (16035, 4.0),\n",
       "              (11339, 4.0),\n",
       "              (7386, 4.0),\n",
       "              (12905, 3.0),\n",
       "              (3966, 2.0),\n",
       "              (19663, 4.0),\n",
       "              (10749, 3.0),\n",
       "              (5708, 3.0),\n",
       "              (11901, 2.0),\n",
       "              (19629, 3.0),\n",
       "              (12382, 4.0),\n",
       "              (15174, 4.0),\n",
       "              (1121, 4.0),\n",
       "              (15455, 4.0),\n",
       "              (6275, 5.0),\n",
       "              (12831, 3.0),\n",
       "              (1298, 4.0),\n",
       "              (10019, 4.0),\n",
       "              (14887, 3.0),\n",
       "              (1852, 3.0),\n",
       "              (9177, 3.0),\n",
       "              (4586, 4.0),\n",
       "              (20199, 4.0),\n",
       "              (8649, 3.0),\n",
       "              (10578, 4.0),\n",
       "              (20076, 3.0),\n",
       "              (11562, 5.0),\n",
       "              (11083, 3.0),\n",
       "              (14461, 4.0),\n",
       "              (16509, 4.0),\n",
       "              (13676, 3.0),\n",
       "              (13415, 4.0),\n",
       "              (823, 3.0),\n",
       "              (11188, 4.0),\n",
       "              (7046, 5.0),\n",
       "              (6914, 4.0),\n",
       "              (9012, 3.0),\n",
       "              (9874, 5.0),\n",
       "              (1226, 4.0),\n",
       "              (549, 4.0),\n",
       "              (9627, 3.0),\n",
       "              (1151, 5.0),\n",
       "              (20448, 3.0),\n",
       "              (20440, 3.0),\n",
       "              (17237, 5.0),\n",
       "              (10990, 3.0),\n",
       "              (8167, 3.0),\n",
       "              (4696, 5.0),\n",
       "              (21286, 5.0),\n",
       "              (8174, 4.0),\n",
       "              (6664, 2.0),\n",
       "              (6550, 5.0),\n",
       "              (10024, 4.0),\n",
       "              (9610, 3.0),\n",
       "              (11480, 5.0),\n",
       "              (20845, 4.0),\n",
       "              (6098, 4.0),\n",
       "              (19755, 2.0),\n",
       "              (13351, 5.0),\n",
       "              (8506, 3.0),\n",
       "              (18548, 3.0),\n",
       "              (19566, 4.0),\n",
       "              (20486, 4.0),\n",
       "              (4540, 3.0),\n",
       "              (15784, 3.0),\n",
       "              (14398, 5.0),\n",
       "              (8826, 4.0),\n",
       "              (10811, 2.0),\n",
       "              (19951, 3.0),\n",
       "              (12811, 5.0),\n",
       "              (427, 3.0),\n",
       "              (19706, 4.0),\n",
       "              (11235, 4.0),\n",
       "              (8020, 4.0),\n",
       "              (6131, 5.0),\n",
       "              (12613, 4.0),\n",
       "              (17930, 4.0),\n",
       "              (4980, 5.0),\n",
       "              (5354, 5.0),\n",
       "              (19523, 5.0),\n",
       "              (13650, 4.0),\n",
       "              (14285, 5.0),\n",
       "              (1138, 4.0),\n",
       "              (4587, 4.0),\n",
       "              (15714, 3.0),\n",
       "              (7768, 4.0),\n",
       "              (16273, 5.0),\n",
       "              (12024, 4.0),\n",
       "              (3864, 4.0),\n",
       "              (13763, 4.0),\n",
       "              (17796, 5.0),\n",
       "              (8827, 4.0),\n",
       "              (9250, 3.0),\n",
       "              (10951, 4.0),\n",
       "              (12562, 4.0),\n",
       "              (6873, 4.0),\n",
       "              (15700, 3.0)],\n",
       "             92: [(2797, 4.0), (3319, 4.0), (16688, 4.0), (8326, 3.0)],\n",
       "             93: [(20794, 1.0),\n",
       "              (11170, 5.0),\n",
       "              (4858, 4.0),\n",
       "              (14964, 5.0),\n",
       "              (5496, 5.0),\n",
       "              (5929, 5.0),\n",
       "              (11778, 5.0),\n",
       "              (3958, 5.0),\n",
       "              (5028, 5.0),\n",
       "              (8700, 1.0),\n",
       "              (13191, 5.0),\n",
       "              (16769, 3.0),\n",
       "              (12835, 5.0),\n",
       "              (3343, 5.0),\n",
       "              (10550, 4.0),\n",
       "              (15314, 5.0),\n",
       "              (8178, 4.0),\n",
       "              (655, 4.0),\n",
       "              (6156, 5.0),\n",
       "              (513, 4.0),\n",
       "              (19959, 4.0),\n",
       "              (2802, 5.0),\n",
       "              (18785, 4.0),\n",
       "              (5521, 5.0),\n",
       "              (4913, 5.0),\n",
       "              (10490, 5.0),\n",
       "              (15210, 5.0),\n",
       "              (15186, 3.0),\n",
       "              (14372, 4.0),\n",
       "              (20897, 4.0),\n",
       "              (20656, 2.0),\n",
       "              (645, 5.0),\n",
       "              (951, 5.0),\n",
       "              (17363, 5.0)],\n",
       "             94: [(5689, 4.0), (638, 4.0), (7995, 3.0), (8911, 4.0)],\n",
       "             95: [(9502, 5.0),\n",
       "              (7652, 5.0),\n",
       "              (13955, 4.0),\n",
       "              (15488, 5.0),\n",
       "              (6662, 4.0),\n",
       "              (15371, 5.0),\n",
       "              (19276, 5.0),\n",
       "              (11678, 3.0),\n",
       "              (18477, 4.0),\n",
       "              (18539, 4.0),\n",
       "              (4106, 3.0),\n",
       "              (329, 5.0),\n",
       "              (8376, 5.0),\n",
       "              (17416, 5.0),\n",
       "              (5401, 4.0),\n",
       "              (11381, 4.0),\n",
       "              (12718, 5.0),\n",
       "              (2479, 4.0),\n",
       "              (16062, 5.0),\n",
       "              (13952, 4.0),\n",
       "              (673, 5.0),\n",
       "              (8139, 3.0),\n",
       "              (13550, 5.0),\n",
       "              (13597, 3.0),\n",
       "              (15146, 5.0),\n",
       "              (1176, 5.0),\n",
       "              (7550, 4.0),\n",
       "              (5951, 5.0),\n",
       "              (20546, 5.0),\n",
       "              (19824, 4.0),\n",
       "              (5894, 2.0),\n",
       "              (7605, 5.0),\n",
       "              (5996, 5.0),\n",
       "              (12687, 4.0),\n",
       "              (20695, 5.0),\n",
       "              (5191, 3.0),\n",
       "              (14814, 5.0),\n",
       "              (5379, 4.0),\n",
       "              (20105, 5.0),\n",
       "              (1618, 5.0),\n",
       "              (1340, 4.0),\n",
       "              (13829, 4.0),\n",
       "              (2043, 5.0),\n",
       "              (8641, 5.0),\n",
       "              (5452, 5.0)],\n",
       "             96: [(13015, 4.0),\n",
       "              (9970, 4.0),\n",
       "              (6885, 4.0),\n",
       "              (10449, 4.0),\n",
       "              (14961, 3.0),\n",
       "              (17000, 4.0)],\n",
       "             97: [(1608, 5.0),\n",
       "              (7950, 5.0),\n",
       "              (2140, 5.0),\n",
       "              (4843, 5.0),\n",
       "              (16530, 5.0)],\n",
       "             98: [(1426, 4.0),\n",
       "              (8551, 5.0),\n",
       "              (2936, 5.0),\n",
       "              (11807, 4.0),\n",
       "              (4246, 4.0),\n",
       "              (948, 4.0),\n",
       "              (20999, 5.0),\n",
       "              (3517, 5.0),\n",
       "              (17115, 5.0),\n",
       "              (9381, 5.0),\n",
       "              (10210, 5.0),\n",
       "              (8904, 5.0),\n",
       "              (17766, 5.0),\n",
       "              (759, 5.0),\n",
       "              (7554, 4.0),\n",
       "              (16001, 4.0),\n",
       "              (11147, 4.0),\n",
       "              (3177, 5.0),\n",
       "              (10778, 4.0),\n",
       "              (303, 5.0)],\n",
       "             99: [(12613, 5.0), (7060, 5.0), (9012, 5.0)],\n",
       "             100: [(12523, 5.0),\n",
       "              (5975, 5.0),\n",
       "              (16444, 4.0),\n",
       "              (5949, 5.0),\n",
       "              (10276, 5.0)],\n",
       "             101: [(15676, 4.0),\n",
       "              (18772, 5.0),\n",
       "              (9537, 4.0),\n",
       "              (4262, 5.0),\n",
       "              (17630, 5.0),\n",
       "              (16398, 5.0),\n",
       "              (11063, 5.0),\n",
       "              (3770, 5.0)],\n",
       "             102: [(17921, 3.0), (16117, 4.0), (1005, 5.0)],\n",
       "             103: [(19534, 5.0),\n",
       "              (12294, 5.0),\n",
       "              (18091, 5.0),\n",
       "              (18688, 5.0),\n",
       "              (5205, 4.0),\n",
       "              (142, 5.0),\n",
       "              (17880, 4.0),\n",
       "              (1196, 5.0),\n",
       "              (3246, 5.0)],\n",
       "             104: [(19733, 4.0),\n",
       "              (19814, 3.0),\n",
       "              (8722, 4.0),\n",
       "              (16998, 2.0),\n",
       "              (8707, 2.0),\n",
       "              (7846, 2.0)],\n",
       "             105: [(7069, 5.0),\n",
       "              (18782, 4.0),\n",
       "              (8826, 5.0),\n",
       "              (19975, 5.0),\n",
       "              (2695, 5.0)],\n",
       "             106: [(12163, 5.0),\n",
       "              (2558, 5.0),\n",
       "              (13620, 5.0),\n",
       "              (1075, 5.0),\n",
       "              (5669, 5.0),\n",
       "              (11383, 5.0),\n",
       "              (5585, 5.0)],\n",
       "             107: [(9273, 5.0),\n",
       "              (4664, 5.0),\n",
       "              (18652, 5.0),\n",
       "              (1091, 3.0),\n",
       "              (10050, 5.0),\n",
       "              (19944, 5.0),\n",
       "              (16306, 5.0)],\n",
       "             108: [(6478, 5.0),\n",
       "              (2848, 5.0),\n",
       "              (14275, 5.0),\n",
       "              (12538, 5.0),\n",
       "              (12710, 5.0),\n",
       "              (4588, 5.0),\n",
       "              (11252, 5.0),\n",
       "              (6372, 5.0)],\n",
       "             109: [(2705, 5.0),\n",
       "              (401, 5.0),\n",
       "              (715, 4.0),\n",
       "              (7009, 5.0),\n",
       "              (2183, 4.0),\n",
       "              (19816, 5.0),\n",
       "              (13536, 4.0),\n",
       "              (17305, 5.0),\n",
       "              (18775, 5.0)],\n",
       "             110: [(19027, 4.0), (13121, 5.0), (12172, 5.0), (13996, 4.0)],\n",
       "             111: [(11820, 3.0), (16856, 5.0), (1077, 4.0)],\n",
       "             112: [(15585, 3.0), (6564, 5.0), (3915, 4.0)],\n",
       "             113: [(7510, 5.0), (13405, 4.0), (3427, 5.0)],\n",
       "             114: [(1639, 5.0),\n",
       "              (1372, 4.0),\n",
       "              (11578, 5.0),\n",
       "              (3517, 4.0),\n",
       "              (17115, 5.0),\n",
       "              (5688, 5.0)],\n",
       "             115: [(14310, 4.0),\n",
       "              (16790, 4.0),\n",
       "              (7557, 4.0),\n",
       "              (19420, 4.0),\n",
       "              (6284, 5.0)],\n",
       "             116: [(6586, 5.0),\n",
       "              (15149, 4.0),\n",
       "              (6285, 4.0),\n",
       "              (10718, 4.0),\n",
       "              (15918, 4.0),\n",
       "              (13793, 3.0),\n",
       "              (18491, 3.0),\n",
       "              (9679, 4.0),\n",
       "              (21223, 3.0),\n",
       "              (18007, 3.0),\n",
       "              (1656, 5.0),\n",
       "              (8955, 3.0),\n",
       "              (2553, 4.0),\n",
       "              (9177, 4.0),\n",
       "              (4848, 4.0),\n",
       "              (216, 4.0),\n",
       "              (12691, 4.0),\n",
       "              (7043, 5.0),\n",
       "              (4298, 2.0),\n",
       "              (3975, 3.0),\n",
       "              (2256, 4.0),\n",
       "              (7321, 4.0),\n",
       "              (18945, 4.0),\n",
       "              (14461, 5.0),\n",
       "              (727, 5.0),\n",
       "              (8772, 5.0),\n",
       "              (16453, 3.0),\n",
       "              (7478, 3.0),\n",
       "              (13172, 4.0),\n",
       "              (11211, 3.0),\n",
       "              (11883, 4.0),\n",
       "              (9042, 3.0),\n",
       "              (8014, 3.0),\n",
       "              (13626, 2.0),\n",
       "              (366, 5.0),\n",
       "              (12366, 2.0),\n",
       "              (9051, 4.0),\n",
       "              (5581, 4.0),\n",
       "              (15455, 4.0),\n",
       "              (8866, 4.0),\n",
       "              (1490, 4.0),\n",
       "              (5354, 5.0),\n",
       "              (1038, 4.0),\n",
       "              (7959, 4.0),\n",
       "              (16144, 2.0),\n",
       "              (15700, 4.0),\n",
       "              (16744, 4.0),\n",
       "              (18786, 5.0),\n",
       "              (9397, 2.0),\n",
       "              (236, 5.0),\n",
       "              (14219, 3.0),\n",
       "              (509, 4.0),\n",
       "              (4993, 2.0),\n",
       "              (13676, 4.0),\n",
       "              (1205, 4.0),\n",
       "              (1759, 3.0),\n",
       "              (7757, 5.0),\n",
       "              (19514, 5.0),\n",
       "              (10048, 5.0),\n",
       "              (7584, 4.0),\n",
       "              (13957, 4.0),\n",
       "              (10436, 5.0),\n",
       "              (19663, 4.0),\n",
       "              (3814, 4.0),\n",
       "              (11062, 3.0),\n",
       "              (17847, 5.0),\n",
       "              (815, 4.0),\n",
       "              (19523, 5.0),\n",
       "              (1399, 5.0),\n",
       "              (20448, 4.0),\n",
       "              (13981, 3.0)],\n",
       "             117: [(2787, 5.0),\n",
       "              (19857, 5.0),\n",
       "              (10925, 4.0),\n",
       "              (7926, 5.0),\n",
       "              (935, 5.0),\n",
       "              (13434, 5.0),\n",
       "              (12204, 5.0),\n",
       "              (2160, 5.0),\n",
       "              (5585, 4.0),\n",
       "              (1511, 5.0),\n",
       "              (17730, 4.0),\n",
       "              (16160, 4.0),\n",
       "              (19423, 5.0),\n",
       "              (7484, 5.0)],\n",
       "             118: [(2331, 4.0),\n",
       "              (19944, 4.0),\n",
       "              (19417, 5.0),\n",
       "              (16319, 5.0),\n",
       "              (1197, 4.0),\n",
       "              (5133, 5.0),\n",
       "              (20717, 4.0),\n",
       "              (18793, 4.0),\n",
       "              (15465, 4.0),\n",
       "              (4211, 5.0),\n",
       "              (13910, 2.0),\n",
       "              (12449, 3.0),\n",
       "              (5156, 4.0)],\n",
       "             119: [(8259, 5.0), (227, 4.0), (15114, 4.0), (17417, 5.0)],\n",
       "             120: [(5052, 5.0),\n",
       "              (4320, 5.0),\n",
       "              (17761, 5.0),\n",
       "              (8796, 4.0),\n",
       "              (14543, 5.0),\n",
       "              (16848, 5.0),\n",
       "              (8944, 5.0),\n",
       "              (19011, 5.0)],\n",
       "             121: [(21162, 4.0),\n",
       "              (18173, 5.0),\n",
       "              (33, 2.0),\n",
       "              (14961, 4.0),\n",
       "              (3818, 3.0),\n",
       "              (6862, 3.0),\n",
       "              (5645, 5.0),\n",
       "              (15329, 3.0),\n",
       "              (2450, 3.0),\n",
       "              (14157, 4.0),\n",
       "              (6721, 4.0),\n",
       "              (13076, 4.0),\n",
       "              (16638, 3.0),\n",
       "              (7388, 3.0),\n",
       "              (5970, 5.0),\n",
       "              (14955, 5.0),\n",
       "              (5132, 4.0),\n",
       "              (17642, 5.0),\n",
       "              (3753, 4.0),\n",
       "              (14599, 3.0),\n",
       "              (2072, 4.0),\n",
       "              (11015, 5.0),\n",
       "              (18575, 4.0),\n",
       "              (11612, 1.0),\n",
       "              (20534, 5.0)],\n",
       "             122: [(5303, 5.0),\n",
       "              (16921, 5.0),\n",
       "              (11383, 5.0),\n",
       "              (5230, 4.0),\n",
       "              (11780, 5.0),\n",
       "              (9037, 5.0),\n",
       "              (9463, 5.0),\n",
       "              (13866, 5.0),\n",
       "              (17119, 5.0),\n",
       "              (8012, 4.0),\n",
       "              (10614, 4.0),\n",
       "              (21150, 5.0),\n",
       "              (5424, 5.0)],\n",
       "             123: [(1566, 4.0),\n",
       "              (16340, 5.0),\n",
       "              (16554, 5.0),\n",
       "              (3423, 5.0),\n",
       "              (17648, 5.0),\n",
       "              (20875, 5.0),\n",
       "              (19142, 4.0),\n",
       "              (4855, 5.0),\n",
       "              (12715, 4.0)],\n",
       "             124: [(9828, 5.0), (18266, 5.0), (4688, 5.0), (9227, 5.0)],\n",
       "             125: [(17172, 4.0), (14556, 3.0), (478, 4.0)],\n",
       "             126: [(3371, 5.0), (20542, 5.0), (11637, 5.0)],\n",
       "             127: [(2373, 4.0), (4234, 4.0), (13300, 3.0)],\n",
       "             128: [(4153, 3.0),\n",
       "              (20315, 5.0),\n",
       "              (2792, 3.0),\n",
       "              (16666, 4.0),\n",
       "              (9515, 3.0),\n",
       "              (767, 5.0),\n",
       "              (20866, 5.0),\n",
       "              (11055, 3.0),\n",
       "              (7469, 5.0),\n",
       "              (17298, 5.0),\n",
       "              (16850, 5.0),\n",
       "              (8462, 5.0),\n",
       "              (9768, 5.0),\n",
       "              (2087, 2.0),\n",
       "              (2511, 5.0),\n",
       "              (14568, 5.0),\n",
       "              (1507, 4.0),\n",
       "              (19806, 5.0)],\n",
       "             129: [(1581, 5.0), (13040, 4.0), (14688, 4.0)],\n",
       "             130: [(10991, 4.0),\n",
       "              (968, 5.0),\n",
       "              (787, 5.0),\n",
       "              (314, 5.0),\n",
       "              (18774, 5.0),\n",
       "              (1472, 5.0),\n",
       "              (9945, 5.0)],\n",
       "             131: [(17053, 5.0),\n",
       "              (19901, 5.0),\n",
       "              (3638, 4.0),\n",
       "              (597, 3.0),\n",
       "              (2195, 3.0),\n",
       "              (19850, 3.0),\n",
       "              (2364, 5.0),\n",
       "              (964, 5.0),\n",
       "              (21172, 3.0),\n",
       "              (15882, 4.0),\n",
       "              (4410, 5.0),\n",
       "              (15906, 4.0),\n",
       "              (15999, 4.0),\n",
       "              (6402, 3.0),\n",
       "              (18596, 4.0),\n",
       "              (5674, 5.0)],\n",
       "             132: [(7048, 2.0),\n",
       "              (18754, 4.0),\n",
       "              (791, 3.0),\n",
       "              (2379, 4.0),\n",
       "              (9357, 4.0),\n",
       "              (2860, 3.0),\n",
       "              (18443, 5.0),\n",
       "              (674, 4.0),\n",
       "              (11014, 4.0),\n",
       "              (15266, 5.0),\n",
       "              (7357, 4.0),\n",
       "              (789, 4.0),\n",
       "              (18501, 5.0),\n",
       "              (17837, 4.0),\n",
       "              (5422, 4.0),\n",
       "              (16241, 3.0),\n",
       "              (9134, 5.0),\n",
       "              (18336, 4.0),\n",
       "              (9559, 3.0)],\n",
       "             133: [(7862, 5.0), (16207, 4.0), (5771, 5.0), (7337, 4.0)],\n",
       "             134: [(4113, 5.0),\n",
       "              (20239, 5.0),\n",
       "              (11930, 4.0),\n",
       "              (15610, 3.0),\n",
       "              (18020, 5.0)],\n",
       "             135: [(17675, 1.0),\n",
       "              (2254, 5.0),\n",
       "              (16306, 5.0),\n",
       "              (16630, 5.0),\n",
       "              (15553, 1.0),\n",
       "              (6558, 5.0),\n",
       "              (896, 4.0),\n",
       "              (16319, 5.0)],\n",
       "             136: [(8672, 5.0), (6127, 5.0), (20793, 5.0), (2513, 5.0)],\n",
       "             137: [(17277, 5.0),\n",
       "              (11829, 5.0),\n",
       "              (3321, 5.0),\n",
       "              (17983, 3.0),\n",
       "              (3545, 5.0)],\n",
       "             138: [(18744, 5.0),\n",
       "              (11442, 4.0),\n",
       "              (10799, 4.0),\n",
       "              (18248, 3.0),\n",
       "              (20424, 4.0),\n",
       "              (18778, 3.0)],\n",
       "             139: [(17861, 4.0), (20588, 2.0), (8251, 4.0)],\n",
       "             140: [(20008, 4.0),\n",
       "              (3230, 5.0),\n",
       "              (6327, 5.0),\n",
       "              (2577, 5.0),\n",
       "              (9622, 4.0),\n",
       "              (11634, 4.0),\n",
       "              (6612, 4.0),\n",
       "              (11425, 5.0),\n",
       "              (2217, 5.0),\n",
       "              (19346, 5.0),\n",
       "              (10408, 4.0),\n",
       "              (14535, 5.0),\n",
       "              (366, 5.0),\n",
       "              (19339, 4.0),\n",
       "              (7827, 5.0),\n",
       "              (18041, 5.0),\n",
       "              (13956, 5.0),\n",
       "              (20844, 3.0),\n",
       "              (11566, 5.0),\n",
       "              (7046, 5.0),\n",
       "              (7585, 4.0),\n",
       "              (7173, 4.0),\n",
       "              (11443, 4.0),\n",
       "              (7599, 5.0),\n",
       "              (6654, 3.0),\n",
       "              (16003, 5.0),\n",
       "              (1572, 4.0),\n",
       "              (9911, 5.0),\n",
       "              (12056, 5.0),\n",
       "              (1210, 3.0),\n",
       "              (7092, 5.0),\n",
       "              (18659, 4.0),\n",
       "              (11890, 4.0),\n",
       "              (2196, 4.0),\n",
       "              (492, 4.0),\n",
       "              (4364, 3.0),\n",
       "              (1224, 4.0),\n",
       "              (8261, 5.0),\n",
       "              (16873, 4.0),\n",
       "              (15943, 5.0)],\n",
       "             141: [(6614, 4.0), (20781, 3.0), (12128, 4.0), (6363, 4.0)],\n",
       "             142: [(4731, 4.0),\n",
       "              (5362, 4.0),\n",
       "              (18901, 5.0),\n",
       "              (7506, 4.0),\n",
       "              (16663, 4.0),\n",
       "              (11389, 3.0)],\n",
       "             143: [(1155, 4.0),\n",
       "              (17401, 4.0),\n",
       "              (2475, 5.0),\n",
       "              (13734, 4.0),\n",
       "              (6581, 5.0),\n",
       "              (5001, 5.0),\n",
       "              (4036, 5.0),\n",
       "              (10778, 5.0),\n",
       "              (1504, 4.0),\n",
       "              (17247, 4.0),\n",
       "              (19963, 5.0),\n",
       "              (3531, 5.0),\n",
       "              (6270, 5.0),\n",
       "              (448, 5.0),\n",
       "              (9382, 4.0),\n",
       "              (17115, 5.0),\n",
       "              (2795, 5.0),\n",
       "              (17537, 5.0),\n",
       "              (6565, 3.0),\n",
       "              (20625, 2.0)],\n",
       "             144: [(12494, 5.0), (6378, 5.0), (18688, 5.0), (1716, 5.0)],\n",
       "             145: [(19932, 5.0),\n",
       "              (55, 5.0),\n",
       "              (20708, 1.0),\n",
       "              (1735, 5.0),\n",
       "              (7098, 4.0),\n",
       "              (17626, 3.0),\n",
       "              (12800, 5.0),\n",
       "              (18298, 3.0),\n",
       "              (10972, 4.0),\n",
       "              (18917, 5.0),\n",
       "              (12043, 3.0),\n",
       "              (9675, 3.0),\n",
       "              (2273, 4.0),\n",
       "              (20280, 5.0),\n",
       "              (16226, 4.0),\n",
       "              (16654, 3.0),\n",
       "              (718, 5.0),\n",
       "              (19784, 5.0),\n",
       "              (10225, 3.0),\n",
       "              (6427, 4.0),\n",
       "              (7948, 3.0),\n",
       "              (11898, 5.0),\n",
       "              (21053, 5.0),\n",
       "              (19634, 4.0),\n",
       "              (3696, 3.0),\n",
       "              (17524, 3.0),\n",
       "              (4881, 4.0),\n",
       "              (19995, 5.0),\n",
       "              (12048, 4.0),\n",
       "              (9339, 5.0),\n",
       "              (19770, 3.0),\n",
       "              (18896, 5.0),\n",
       "              (7539, 5.0),\n",
       "              (4692, 4.0),\n",
       "              (11603, 4.0),\n",
       "              (110, 5.0),\n",
       "              (3244, 5.0),\n",
       "              (12410, 4.0),\n",
       "              (9472, 5.0),\n",
       "              (5415, 3.0),\n",
       "              (12767, 4.0),\n",
       "              (5471, 5.0),\n",
       "              (19870, 1.0)],\n",
       "             146: [(6612, 5.0),\n",
       "              (3498, 4.0),\n",
       "              (12340, 5.0),\n",
       "              (18574, 5.0),\n",
       "              (10247, 5.0),\n",
       "              (18007, 4.0),\n",
       "              (13784, 5.0),\n",
       "              (13637, 4.0),\n",
       "              (2357, 3.0),\n",
       "              (19346, 4.0),\n",
       "              (19629, 4.0),\n",
       "              (8238, 4.0),\n",
       "              (3920, 5.0),\n",
       "              (8976, 3.0),\n",
       "              (7141, 5.0),\n",
       "              (16123, 1.0),\n",
       "              (4696, 3.0),\n",
       "              (20592, 5.0)],\n",
       "             147: [(17462, 4.0),\n",
       "              (8641, 5.0),\n",
       "              (6722, 5.0),\n",
       "              (5549, 4.0),\n",
       "              (20293, 4.0)],\n",
       "             148: [(18535, 5.0),\n",
       "              (2284, 4.0),\n",
       "              (17141, 4.0),\n",
       "              (7812, 4.0),\n",
       "              (12853, 5.0),\n",
       "              (16253, 4.0),\n",
       "              (18355, 4.0),\n",
       "              (667, 3.0),\n",
       "              (6587, 4.0),\n",
       "              (17131, 2.0),\n",
       "              (6614, 3.0),\n",
       "              (9352, 4.0),\n",
       "              (16815, 3.0),\n",
       "              (12278, 3.0),\n",
       "              (13371, 3.0),\n",
       "              (17568, 5.0),\n",
       "              (2105, 4.0),\n",
       "              (21040, 4.0),\n",
       "              (10577, 5.0),\n",
       "              (296, 5.0),\n",
       "              (1105, 4.0)],\n",
       "             149: [(4249, 5.0),\n",
       "              (16870, 5.0),\n",
       "              (564, 5.0),\n",
       "              (19810, 5.0),\n",
       "              (985, 5.0),\n",
       "              (16597, 5.0),\n",
       "              (14431, 5.0),\n",
       "              (9327, 5.0)],\n",
       "             150: [(17920, 5.0),\n",
       "              (915, 5.0),\n",
       "              (6448, 4.0),\n",
       "              (17844, 4.0),\n",
       "              (17116, 5.0),\n",
       "              (3938, 5.0),\n",
       "              (8338, 5.0),\n",
       "              (12603, 5.0),\n",
       "              (18027, 5.0),\n",
       "              (14753, 5.0),\n",
       "              (3731, 5.0),\n",
       "              (11851, 4.0),\n",
       "              (3586, 4.0)],\n",
       "             151: [(6133, 4.0),\n",
       "              (10281, 4.0),\n",
       "              (8187, 4.0),\n",
       "              (8805, 5.0),\n",
       "              (4118, 4.0),\n",
       "              (13125, 4.0),\n",
       "              (15991, 5.0)],\n",
       "             152: [(6223, 5.0),\n",
       "              (13834, 5.0),\n",
       "              (7021, 4.0),\n",
       "              (8773, 2.0),\n",
       "              (19587, 4.0)],\n",
       "             153: [(14645, 4.0),\n",
       "              (6455, 5.0),\n",
       "              (8691, 5.0),\n",
       "              (8286, 4.0),\n",
       "              (19857, 5.0),\n",
       "              (15501, 5.0),\n",
       "              (5585, 5.0),\n",
       "              (16562, 5.0),\n",
       "              (10651, 5.0),\n",
       "              (18098, 4.0),\n",
       "              (19687, 5.0),\n",
       "              (2184, 5.0),\n",
       "              (10456, 3.0),\n",
       "              (19705, 4.0),\n",
       "              (17119, 5.0),\n",
       "              (6571, 5.0),\n",
       "              (14459, 4.0),\n",
       "              (4082, 5.0),\n",
       "              (8195, 5.0),\n",
       "              (15678, 5.0),\n",
       "              (7926, 5.0),\n",
       "              (8212, 5.0),\n",
       "              (18345, 5.0),\n",
       "              (18523, 5.0),\n",
       "              (5203, 5.0),\n",
       "              (12627, 5.0),\n",
       "              (15659, 5.0),\n",
       "              (20107, 5.0)],\n",
       "             154: [(401, 3.0),\n",
       "              (7009, 5.0),\n",
       "              (15801, 5.0),\n",
       "              (17305, 5.0),\n",
       "              (12465, 5.0)],\n",
       "             155: [(7761, 5.0),\n",
       "              (1273, 5.0),\n",
       "              (3356, 4.0),\n",
       "              (20371, 5.0),\n",
       "              (4899, 5.0),\n",
       "              (7825, 4.0),\n",
       "              (21001, 4.0),\n",
       "              (8392, 5.0),\n",
       "              (13787, 5.0),\n",
       "              (5041, 5.0),\n",
       "              (15132, 5.0),\n",
       "              (13126, 5.0),\n",
       "              (4332, 5.0),\n",
       "              (6919, 5.0),\n",
       "              (13442, 5.0),\n",
       "              (1594, 4.0),\n",
       "              (10465, 5.0)],\n",
       "             156: [(13839, 2.0),\n",
       "              (13506, 5.0),\n",
       "              (6807, 5.0),\n",
       "              (13385, 5.0),\n",
       "              (9348, 5.0),\n",
       "              (10882, 5.0),\n",
       "              (14305, 5.0),\n",
       "              (219, 5.0)],\n",
       "             157: [(15052, 5.0), (8678, 5.0), (16688, 3.0), (1091, 5.0)],\n",
       "             158: [(12016, 5.0),\n",
       "              (16951, 5.0),\n",
       "              (13982, 4.0),\n",
       "              (17523, 1.0),\n",
       "              (12469, 4.0)],\n",
       "             159: [(10717, 3.0),\n",
       "              (2033, 4.0),\n",
       "              (16716, 5.0),\n",
       "              (11568, 5.0),\n",
       "              (1888, 4.0),\n",
       "              (8060, 5.0),\n",
       "              (17969, 4.0),\n",
       "              (16773, 3.0),\n",
       "              (3314, 4.0),\n",
       "              (15179, 4.0),\n",
       "              (18905, 4.0),\n",
       "              (15600, 5.0),\n",
       "              (18644, 2.0),\n",
       "              (3906, 4.0),\n",
       "              (4639, 5.0),\n",
       "              (21182, 4.0),\n",
       "              (15325, 4.0),\n",
       "              (14898, 4.0),\n",
       "              (13143, 3.0),\n",
       "              (13974, 4.0),\n",
       "              (563, 3.0),\n",
       "              (2286, 4.0),\n",
       "              (13493, 4.0),\n",
       "              (6486, 4.0),\n",
       "              (12671, 4.0),\n",
       "              (20331, 4.0),\n",
       "              (3954, 3.0),\n",
       "              (11460, 3.0),\n",
       "              (7818, 4.0),\n",
       "              (7565, 3.0),\n",
       "              (10497, 5.0),\n",
       "              (2074, 4.0),\n",
       "              (9792, 5.0),\n",
       "              (1156, 4.0),\n",
       "              (13322, 4.0),\n",
       "              (2570, 4.0),\n",
       "              (4917, 5.0),\n",
       "              (8987, 4.0),\n",
       "              (15277, 3.0),\n",
       "              (8790, 5.0),\n",
       "              (9407, 5.0),\n",
       "              (5507, 4.0),\n",
       "              (3309, 5.0),\n",
       "              (8639, 5.0),\n",
       "              (1703, 2.0),\n",
       "              (9093, 4.0),\n",
       "              (20843, 5.0),\n",
       "              (8399, 3.0),\n",
       "              (10168, 4.0),\n",
       "              (4103, 5.0),\n",
       "              (18932, 5.0),\n",
       "              (96, 4.0),\n",
       "              (5948, 5.0),\n",
       "              (13901, 3.0),\n",
       "              (6587, 4.0),\n",
       "              (1012, 5.0),\n",
       "              (9436, 5.0),\n",
       "              (12866, 3.0),\n",
       "              (3904, 4.0)],\n",
       "             160: [(9210, 5.0),\n",
       "              (3878, 5.0),\n",
       "              (16538, 5.0),\n",
       "              (11505, 5.0),\n",
       "              (12317, 2.0),\n",
       "              (18764, 4.0)],\n",
       "             161: [(4311, 5.0),\n",
       "              (976, 5.0),\n",
       "              (6750, 5.0),\n",
       "              (4003, 5.0),\n",
       "              (19813, 5.0)],\n",
       "             162: [(5074, 3.0),\n",
       "              (4058, 5.0),\n",
       "              (8020, 4.0),\n",
       "              (8941, 5.0),\n",
       "              (16144, 5.0)],\n",
       "             163: [(11055, 5.0), (3422, 4.0), (9851, 3.0)],\n",
       "             164: [(20064, 5.0),\n",
       "              (9485, 5.0),\n",
       "              (218, 4.0),\n",
       "              (8988, 3.0),\n",
       "              (2659, 4.0)],\n",
       "             165: [(4158, 4.0),\n",
       "              (741, 5.0),\n",
       "              (11457, 5.0),\n",
       "              (9457, 4.0),\n",
       "              (12469, 4.0),\n",
       "              (6521, 5.0),\n",
       "              (12633, 5.0),\n",
       "              (2608, 4.0),\n",
       "              (625, 3.0)],\n",
       "             166: [(10803, 3.0), (13301, 5.0)],\n",
       "             167: [(19330, 5.0),\n",
       "              (8970, 4.0),\n",
       "              (2475, 4.0),\n",
       "              (20891, 1.0),\n",
       "              (19216, 4.0)],\n",
       "             168: [(17053, 5.0),\n",
       "              (5784, 3.0),\n",
       "              (9893, 4.0),\n",
       "              (14128, 5.0),\n",
       "              (6456, 5.0),\n",
       "              (5256, 4.0),\n",
       "              (13298, 3.0),\n",
       "              (13673, 5.0)],\n",
       "             169: [(15056, 4.0),\n",
       "              (5619, 5.0),\n",
       "              (226, 5.0),\n",
       "              (828, 4.0),\n",
       "              (4062, 5.0),\n",
       "              (11170, 4.0),\n",
       "              (19859, 4.0),\n",
       "              (15114, 5.0),\n",
       "              (4965, 5.0),\n",
       "              (11530, 4.0),\n",
       "              (14173, 5.0),\n",
       "              (16218, 4.0),\n",
       "              (7690, 4.0),\n",
       "              (13942, 5.0),\n",
       "              (13147, 5.0),\n",
       "              (10738, 5.0),\n",
       "              (14540, 4.0),\n",
       "              (12685, 4.0),\n",
       "              (17615, 5.0),\n",
       "              (16356, 5.0),\n",
       "              (9234, 5.0),\n",
       "              (6273, 5.0),\n",
       "              (5552, 5.0),\n",
       "              (5515, 5.0),\n",
       "              (14721, 5.0),\n",
       "              (20951, 5.0)],\n",
       "             170: [(16749, 4.0),\n",
       "              (20670, 4.0),\n",
       "              (18174, 4.0),\n",
       "              (8855, 4.0),\n",
       "              (8489, 4.0)],\n",
       "             171: [(20088, 5.0),\n",
       "              (17169, 5.0),\n",
       "              (21067, 5.0),\n",
       "              (426, 5.0),\n",
       "              (1383, 4.0),\n",
       "              (18120, 5.0),\n",
       "              (21026, 5.0)],\n",
       "             172: [(3296, 5.0), (9327, 5.0), (3490, 5.0)],\n",
       "             173: [(21079, 4.0),\n",
       "              (17544, 5.0),\n",
       "              (8285, 4.0),\n",
       "              (1394, 5.0),\n",
       "              (671, 4.0),\n",
       "              (874, 4.0),\n",
       "              (17702, 4.0),\n",
       "              (19263, 3.0)],\n",
       "             174: [(12984, 5.0),\n",
       "              (10405, 5.0),\n",
       "              (899, 5.0),\n",
       "              (20885, 4.0),\n",
       "              (3905, 5.0),\n",
       "              (15318, 5.0)],\n",
       "             175: [(14927, 5.0), (12194, 5.0), (82, 5.0), (10123, 5.0)],\n",
       "             176: [(12134, 5.0), (12938, 5.0), (2664, 5.0), (4421, 5.0)],\n",
       "             177: [(782, 5.0),\n",
       "              (17822, 5.0),\n",
       "              (26, 5.0),\n",
       "              (3169, 5.0),\n",
       "              (6749, 5.0),\n",
       "              (14801, 5.0),\n",
       "              (19345, 5.0),\n",
       "              (6100, 5.0),\n",
       "              (4702, 5.0),\n",
       "              (5225, 5.0),\n",
       "              (5930, 5.0),\n",
       "              (3740, 5.0)],\n",
       "             178: [(14227, 5.0),\n",
       "              (5538, 4.0),\n",
       "              (8187, 5.0),\n",
       "              (19140, 5.0),\n",
       "              (6310, 5.0),\n",
       "              (21153, 4.0),\n",
       "              (20395, 5.0),\n",
       "              (18787, 5.0),\n",
       "              (643, 5.0),\n",
       "              (6740, 5.0)],\n",
       "             179: [(21168, 5.0),\n",
       "              (6106, 4.0),\n",
       "              (20387, 4.0),\n",
       "              (10278, 4.0),\n",
       "              (13686, 5.0)],\n",
       "             180: [(11709, 5.0),\n",
       "              (751, 5.0),\n",
       "              (437, 4.0),\n",
       "              (1440, 5.0),\n",
       "              (18865, 4.0),\n",
       "              (242, 4.0),\n",
       "              (13979, 5.0),\n",
       "              (171, 5.0),\n",
       "              (6471, 4.0),\n",
       "              (6140, 4.0),\n",
       "              (7020, 4.0),\n",
       "              (19167, 4.0),\n",
       "              (7393, 4.0),\n",
       "              (2609, 5.0),\n",
       "              (4241, 5.0),\n",
       "              (13776, 4.0),\n",
       "              (21178, 5.0),\n",
       "              (12691, 4.0),\n",
       "              (485, 3.0),\n",
       "              (12499, 4.0),\n",
       "              (20613, 5.0),\n",
       "              (5591, 3.0),\n",
       "              (13742, 5.0)],\n",
       "             181: [(10841, 5.0),\n",
       "              (3871, 5.0),\n",
       "              (15433, 5.0),\n",
       "              (15359, 5.0),\n",
       "              (7838, 5.0),\n",
       "              (7581, 4.0),\n",
       "              (20088, 5.0)],\n",
       "             182: [(13684, 5.0),\n",
       "              (18993, 5.0),\n",
       "              (17863, 4.0),\n",
       "              (16632, 5.0),\n",
       "              (751, 4.0),\n",
       "              (1108, 5.0),\n",
       "              (11709, 5.0)],\n",
       "             183: [(16381, 4.0),\n",
       "              (5859, 4.0),\n",
       "              (3662, 5.0),\n",
       "              (1906, 5.0),\n",
       "              (7970, 4.0),\n",
       "              (12481, 4.0),\n",
       "              (10985, 4.0),\n",
       "              (20579, 5.0),\n",
       "              (4657, 4.0),\n",
       "              (16772, 4.0),\n",
       "              (15259, 5.0),\n",
       "              (16853, 4.0),\n",
       "              (18753, 4.0),\n",
       "              (18177, 5.0),\n",
       "              (3402, 4.0),\n",
       "              (1064, 3.0),\n",
       "              (17576, 5.0),\n",
       "              (19565, 4.0),\n",
       "              (17449, 5.0),\n",
       "              (15374, 5.0),\n",
       "              (925, 4.0),\n",
       "              (2337, 4.0),\n",
       "              (10757, 5.0),\n",
       "              (3851, 4.0),\n",
       "              (17182, 4.0),\n",
       "              (470, 4.0),\n",
       "              (7078, 3.0),\n",
       "              (6360, 4.0),\n",
       "              (11627, 4.0),\n",
       "              (11134, 4.0),\n",
       "              (20253, 3.0),\n",
       "              (20900, 5.0),\n",
       "              (19094, 4.0)],\n",
       "             184: [(2368, 5.0),\n",
       "              (8624, 4.0),\n",
       "              (18809, 4.0),\n",
       "              (20481, 3.0),\n",
       "              (7238, 5.0),\n",
       "              (16616, 5.0),\n",
       "              (14157, 5.0),\n",
       "              (19976, 5.0),\n",
       "              (7034, 4.0),\n",
       "              (5223, 4.0),\n",
       "              (20655, 3.0),\n",
       "              (14961, 4.0),\n",
       "              (11028, 4.0),\n",
       "              (12817, 5.0),\n",
       "              (15908, 4.0),\n",
       "              (9318, 5.0),\n",
       "              (3859, 4.0),\n",
       "              (19426, 4.0),\n",
       "              (17579, 5.0),\n",
       "              (191, 3.0),\n",
       "              (12383, 4.0),\n",
       "              (14411, 5.0),\n",
       "              (11524, 4.0),\n",
       "              (9995, 4.0),\n",
       "              (13216, 4.0),\n",
       "              (3216, 4.0),\n",
       "              (7512, 5.0),\n",
       "              (5476, 5.0),\n",
       "              (15614, 4.0),\n",
       "              (20704, 4.0),\n",
       "              (18278, 5.0),\n",
       "              (19482, 3.0),\n",
       "              (19231, 3.0),\n",
       "              (18903, 5.0),\n",
       "              (20552, 5.0)],\n",
       "             185: [(9372, 5.0),\n",
       "              (9179, 4.0),\n",
       "              (20761, 5.0),\n",
       "              (7631, 5.0),\n",
       "              (2256, 5.0)],\n",
       "             186: [(18286, 5.0), (5086, 5.0), (2478, 4.0)],\n",
       "             187: [(4037, 4.0),\n",
       "              (11568, 5.0),\n",
       "              (4777, 4.0),\n",
       "              (3430, 5.0),\n",
       "              (20749, 5.0),\n",
       "              (5412, 5.0),\n",
       "              (2067, 5.0),\n",
       "              (12671, 5.0)],\n",
       "             188: [(7632, 5.0), (1601, 5.0), (13813, 5.0), (21205, 4.0)],\n",
       "             189: [(13346, 5.0),\n",
       "              (15836, 5.0),\n",
       "              (6371, 5.0),\n",
       "              (5024, 5.0),\n",
       "              (9428, 5.0),\n",
       "              (19896, 5.0),\n",
       "              (19527, 5.0),\n",
       "              (3418, 5.0),\n",
       "              (5917, 5.0),\n",
       "              (13873, 5.0),\n",
       "              (20115, 5.0)],\n",
       "             190: [(1114, 5.0),\n",
       "              (9273, 4.0),\n",
       "              (18414, 5.0),\n",
       "              (5602, 5.0),\n",
       "              (14185, 4.0),\n",
       "              (924, 4.0),\n",
       "              (20965, 5.0),\n",
       "              (6390, 4.0),\n",
       "              (7363, 5.0),\n",
       "              (2870, 4.0),\n",
       "              (6280, 5.0),\n",
       "              (11172, 3.0),\n",
       "              (19305, 5.0),\n",
       "              (5350, 5.0),\n",
       "              (13532, 3.0),\n",
       "              (17930, 5.0),\n",
       "              (107, 5.0)],\n",
       "             191: [(10404, 5.0), (6556, 5.0), (2811, 3.0), (3684, 5.0)],\n",
       "             192: [(462, 5.0), (21002, 5.0), (8342, 5.0), (1413, 5.0)],\n",
       "             193: [(11485, 3.0),\n",
       "              (6722, 3.0),\n",
       "              (13229, 4.0),\n",
       "              (769, 4.0),\n",
       "              (9914, 3.0),\n",
       "              (15291, 4.0)],\n",
       "             194: [(7526, 5.0),\n",
       "              (3659, 4.0),\n",
       "              (4241, 4.0),\n",
       "              (12690, 4.0),\n",
       "              (13370, 4.0),\n",
       "              (14103, 4.0),\n",
       "              (9831, 4.0),\n",
       "              (10483, 4.0),\n",
       "              (8540, 5.0),\n",
       "              (16567, 4.0),\n",
       "              (1128, 5.0),\n",
       "              (4436, 5.0),\n",
       "              (6273, 5.0),\n",
       "              (3538, 2.0),\n",
       "              (12139, 4.0),\n",
       "              (3958, 4.0),\n",
       "              (10079, 5.0),\n",
       "              (8683, 4.0),\n",
       "              (20014, 5.0),\n",
       "              (5269, 5.0),\n",
       "              (5756, 5.0),\n",
       "              (17243, 4.0),\n",
       "              (7464, 5.0),\n",
       "              (7458, 3.0),\n",
       "              (2466, 3.0),\n",
       "              (13083, 5.0),\n",
       "              (16623, 3.0),\n",
       "              (5243, 5.0),\n",
       "              (4061, 3.0),\n",
       "              (19837, 4.0),\n",
       "              (9291, 5.0)],\n",
       "             195: [(1959, 5.0),\n",
       "              (3941, 4.0),\n",
       "              (1718, 5.0),\n",
       "              (576, 4.0),\n",
       "              (13634, 4.0),\n",
       "              (4241, 5.0),\n",
       "              (6954, 4.0),\n",
       "              (7393, 4.0),\n",
       "              (5028, 4.0),\n",
       "              (4840, 5.0),\n",
       "              (1538, 4.0),\n",
       "              (8531, 4.0),\n",
       "              (9466, 4.0),\n",
       "              (5521, 4.0),\n",
       "              (17734, 4.0),\n",
       "              (6186, 4.0),\n",
       "              (13944, 4.0),\n",
       "              (18906, 4.0),\n",
       "              (15676, 4.0),\n",
       "              (8700, 4.0),\n",
       "              (13105, 4.0),\n",
       "              (13898, 5.0),\n",
       "              (18908, 4.0),\n",
       "              (13979, 4.0),\n",
       "              (8497, 4.0),\n",
       "              (7346, 5.0),\n",
       "              (9537, 4.0),\n",
       "              (13684, 5.0),\n",
       "              (7038, 4.0)],\n",
       "             196: [(13480, 4.0), (11768, 4.0), (18082, 5.0), (19760, 4.0)],\n",
       "             197: [(10204, 3.0), (430, 4.0)],\n",
       "             198: [(4491, 5.0),\n",
       "              (3944, 5.0),\n",
       "              (4819, 5.0),\n",
       "              (17137, 5.0),\n",
       "              (8212, 5.0),\n",
       "              (18697, 5.0),\n",
       "              (11054, 5.0),\n",
       "              (7926, 5.0),\n",
       "              (14106, 4.0),\n",
       "              (8155, 5.0),\n",
       "              (1475, 5.0)],\n",
       "             199: [(3117, 5.0),\n",
       "              (915, 5.0),\n",
       "              (3819, 5.0),\n",
       "              (10405, 5.0),\n",
       "              (8840, 5.0)],\n",
       "             200: [(19902, 4.0), (16203, 4.0), (169, 4.0)],\n",
       "             201: [(2633, 4.0),\n",
       "              (6036, 4.0),\n",
       "              (16663, 5.0),\n",
       "              (12910, 5.0),\n",
       "              (17092, 5.0),\n",
       "              (13599, 5.0),\n",
       "              (14751, 3.0),\n",
       "              (12607, 5.0),\n",
       "              (14631, 5.0),\n",
       "              (882, 4.0),\n",
       "              (2484, 4.0),\n",
       "              (9647, 4.0),\n",
       "              (9258, 4.0),\n",
       "              (1425, 5.0),\n",
       "              (9741, 3.0),\n",
       "              (19983, 4.0),\n",
       "              (5130, 4.0),\n",
       "              (19695, 5.0),\n",
       "              (7488, 3.0),\n",
       "              (21024, 5.0),\n",
       "              (2044, 5.0),\n",
       "              (9077, 5.0),\n",
       "              (11526, 3.0),\n",
       "              (21284, 5.0),\n",
       "              (1376, 5.0),\n",
       "              (9484, 3.0),\n",
       "              (1057, 5.0),\n",
       "              (779, 4.0)],\n",
       "             202: [(19305, 3.0),\n",
       "              (7840, 3.0),\n",
       "              (6692, 3.0),\n",
       "              (1447, 4.0),\n",
       "              (18578, 4.0),\n",
       "              (14815, 5.0),\n",
       "              (19543, 4.0),\n",
       "              (18652, 5.0),\n",
       "              (11692, 4.0),\n",
       "              (21170, 5.0)],\n",
       "             203: [(1009, 4.0), (9809, 3.0), (8310, 4.0), (12144, 4.0)],\n",
       "             204: [(15439, 5.0),\n",
       "              (6482, 5.0),\n",
       "              (8282, 1.0),\n",
       "              (19297, 2.0),\n",
       "              (15932, 4.0),\n",
       "              (6936, 1.0),\n",
       "              (7171, 5.0),\n",
       "              (5087, 4.0),\n",
       "              (18298, 4.0),\n",
       "              (12071, 5.0),\n",
       "              (10544, 2.0),\n",
       "              (17599, 4.0),\n",
       "              (5163, 4.0),\n",
       "              (2398, 3.0),\n",
       "              (7523, 1.0),\n",
       "              (9949, 5.0),\n",
       "              (16579, 3.0),\n",
       "              (893, 3.0),\n",
       "              (20669, 3.0),\n",
       "              (9843, 3.0),\n",
       "              (19522, 5.0),\n",
       "              (16136, 3.0),\n",
       "              (13906, 3.0),\n",
       "              (10205, 4.0),\n",
       "              (13827, 1.0),\n",
       "              (18916, 2.0),\n",
       "              (2964, 4.0),\n",
       "              (15925, 4.0),\n",
       "              (16627, 4.0),\n",
       "              (15684, 3.0),\n",
       "              (8611, 4.0),\n",
       "              (1774, 3.0),\n",
       "              (17014, 4.0),\n",
       "              (8760, 4.0),\n",
       "              (469, 5.0),\n",
       "              (18320, 5.0),\n",
       "              (16095, 3.0),\n",
       "              (13824, 5.0),\n",
       "              (5905, 4.0),\n",
       "              (15135, 2.0),\n",
       "              (18452, 3.0),\n",
       "              (875, 3.0),\n",
       "              (683, 3.0),\n",
       "              (5006, 5.0),\n",
       "              (3527, 5.0)],\n",
       "             205: [(4167, 4.0),\n",
       "              (19217, 4.0),\n",
       "              (2124, 5.0),\n",
       "              (5035, 5.0),\n",
       "              (3703, 5.0),\n",
       "              (5346, 4.0),\n",
       "              (10748, 4.0),\n",
       "              (16640, 4.0),\n",
       "              (8027, 4.0),\n",
       "              (54, 4.0)],\n",
       "             206: [(17081, 5.0),\n",
       "              (5767, 4.0),\n",
       "              (4241, 5.0),\n",
       "              (11445, 3.0),\n",
       "              (18204, 3.0)],\n",
       "             207: [(18856, 5.0),\n",
       "              (11944, 4.0),\n",
       "              (12193, 4.0),\n",
       "              (14046, 2.0),\n",
       "              (14687, 2.0),\n",
       "              (16860, 5.0),\n",
       "              (3893, 4.0)],\n",
       "             208: [(9331, 3.0),\n",
       "              (10539, 2.0),\n",
       "              (14802, 5.0),\n",
       "              (15917, 5.0),\n",
       "              (16207, 5.0),\n",
       "              (8243, 5.0),\n",
       "              (13086, 5.0),\n",
       "              (947, 5.0),\n",
       "              (19610, 3.0),\n",
       "              (332, 5.0),\n",
       "              (1492, 4.0),\n",
       "              (309, 5.0),\n",
       "              (692, 5.0),\n",
       "              (15388, 3.0),\n",
       "              (15614, 5.0),\n",
       "              (11240, 4.0),\n",
       "              (17953, 3.0),\n",
       "              (6793, 5.0),\n",
       "              (12096, 3.0),\n",
       "              (3823, 5.0),\n",
       "              (3377, 5.0),\n",
       "              (16966, 4.0),\n",
       "              (849, 1.0),\n",
       "              (18575, 3.0),\n",
       "              (19746, 1.0),\n",
       "              (6254, 5.0),\n",
       "              (20267, 5.0),\n",
       "              (18488, 5.0),\n",
       "              (5222, 3.0),\n",
       "              (15513, 5.0),\n",
       "              (17554, 1.0),\n",
       "              (322, 4.0),\n",
       "              (2992, 4.0),\n",
       "              (16629, 5.0),\n",
       "              (14435, 4.0),\n",
       "              (8780, 2.0),\n",
       "              (7873, 2.0),\n",
       "              (13110, 5.0),\n",
       "              (5903, 4.0),\n",
       "              (611, 2.0),\n",
       "              (2496, 4.0),\n",
       "              (4417, 5.0),\n",
       "              (15867, 5.0),\n",
       "              (1279, 4.0),\n",
       "              (20552, 5.0),\n",
       "              (3271, 5.0),\n",
       "              (2422, 5.0)],\n",
       "             209: [(2060, 4.0),\n",
       "              (8467, 5.0),\n",
       "              (6871, 5.0),\n",
       "              (237, 4.0),\n",
       "              (5388, 5.0)],\n",
       "             210: [(8577, 5.0),\n",
       "              (8368, 5.0),\n",
       "              (9285, 3.0),\n",
       "              (20120, 5.0),\n",
       "              (9309, 5.0),\n",
       "              (18752, 5.0)],\n",
       "             211: [(3910, 5.0),\n",
       "              (819, 5.0),\n",
       "              (16646, 5.0),\n",
       "              (19460, 5.0),\n",
       "              (3294, 5.0)],\n",
       "             212: [(11407, 5.0), (5362, 5.0), (19538, 4.0), (8954, 5.0)],\n",
       "             213: [(11206, 4.0),\n",
       "              (17984, 5.0),\n",
       "              (8607, 3.0),\n",
       "              (692, 4.0),\n",
       "              (6004, 5.0),\n",
       "              (11037, 5.0)],\n",
       "             214: [(15782, 4.0),\n",
       "              (9746, 5.0),\n",
       "              (12925, 5.0),\n",
       "              (10348, 4.0),\n",
       "              (13255, 3.0),\n",
       "              (17633, 5.0),\n",
       "              (20283, 4.0),\n",
       "              (17627, 3.0),\n",
       "              (17643, 5.0),\n",
       "              (5188, 5.0),\n",
       "              (19100, 4.0),\n",
       "              (19158, 5.0),\n",
       "              (706, 5.0),\n",
       "              (19578, 5.0),\n",
       "              (15396, 4.0),\n",
       "              (9919, 4.0),\n",
       "              (9888, 4.0),\n",
       "              (19733, 4.0),\n",
       "              (191, 5.0)],\n",
       "             215: [(15151, 5.0),\n",
       "              (9925, 4.0),\n",
       "              (6376, 4.0),\n",
       "              (20014, 5.0),\n",
       "              (1786, 5.0),\n",
       "              (4061, 2.0),\n",
       "              (2215, 5.0),\n",
       "              (4754, 3.0),\n",
       "              (17058, 4.0)],\n",
       "             216: [(4261, 5.0),\n",
       "              (3102, 5.0),\n",
       "              (21243, 3.0),\n",
       "              (3460, 5.0),\n",
       "              (19338, 4.0),\n",
       "              (2651, 5.0),\n",
       "              (11359, 3.0),\n",
       "              (11171, 4.0),\n",
       "              (10656, 5.0)],\n",
       "             217: [(2970, 3.0),\n",
       "              (1737, 4.0),\n",
       "              (19903, 4.0),\n",
       "              (2845, 5.0),\n",
       "              (2579, 5.0),\n",
       "              (13015, 5.0),\n",
       "              (6442, 5.0),\n",
       "              (4311, 5.0),\n",
       "              (18179, 5.0),\n",
       "              (14935, 5.0)],\n",
       "             218: [(12958, 4.0), (16898, 3.0), (1034, 5.0)],\n",
       "             219: [(7282, 3.0),\n",
       "              (7642, 4.0),\n",
       "              (3216, 4.0),\n",
       "              (3635, 4.0),\n",
       "              (4203, 3.0),\n",
       "              (19675, 4.0),\n",
       "              (17722, 4.0),\n",
       "              (13357, 4.0),\n",
       "              (6162, 4.0),\n",
       "              (5393, 3.0),\n",
       "              (3856, 3.0),\n",
       "              (9606, 5.0),\n",
       "              (5822, 5.0),\n",
       "              (11202, 4.0),\n",
       "              (16493, 4.0),\n",
       "              (1859, 4.0),\n",
       "              (3185, 5.0),\n",
       "              (16680, 4.0),\n",
       "              (10198, 5.0),\n",
       "              (5943, 4.0),\n",
       "              (7431, 3.0),\n",
       "              (6463, 5.0),\n",
       "              (17973, 3.0),\n",
       "              (3830, 3.0),\n",
       "              (18760, 4.0),\n",
       "              (621, 5.0),\n",
       "              (14062, 4.0),\n",
       "              (15396, 4.0),\n",
       "              (12731, 5.0),\n",
       "              (7034, 4.0),\n",
       "              (651, 4.0),\n",
       "              (12096, 5.0),\n",
       "              (7231, 3.0),\n",
       "              (13940, 3.0),\n",
       "              (16032, 4.0),\n",
       "              (6254, 4.0),\n",
       "              (5310, 3.0),\n",
       "              (6016, 4.0),\n",
       "              (14876, 4.0),\n",
       "              (14024, 3.0),\n",
       "              (4746, 5.0),\n",
       "              (10826, 4.0),\n",
       "              (14921, 4.0),\n",
       "              (6990, 4.0),\n",
       "              (13835, 4.0)],\n",
       "             220: [(5849, 4.0),\n",
       "              (18122, 5.0),\n",
       "              (13203, 5.0),\n",
       "              (5885, 5.0),\n",
       "              (15413, 5.0),\n",
       "              (21268, 5.0),\n",
       "              (20195, 5.0)],\n",
       "             221: [(7980, 4.0), (14730, 3.0), (2752, 5.0), (16587, 5.0)],\n",
       "             222: [(2672, 5.0),\n",
       "              (7618, 4.0),\n",
       "              (12886, 4.0),\n",
       "              (18281, 4.0),\n",
       "              (17528, 5.0)],\n",
       "             223: [(14056, 5.0),\n",
       "              (18680, 5.0),\n",
       "              (17975, 5.0),\n",
       "              (16902, 5.0),\n",
       "              (16463, 5.0),\n",
       "              (13436, 5.0),\n",
       "              (13497, 4.0),\n",
       "              (2579, 5.0),\n",
       "              (1737, 5.0),\n",
       "              (17656, 5.0),\n",
       "              (18159, 5.0)],\n",
       "             224: [(203, 4.0), (20409, 4.0), (5844, 4.0)],\n",
       "             225: [(5131, 4.0),\n",
       "              (18815, 5.0),\n",
       "              (17738, 5.0),\n",
       "              (20420, 5.0),\n",
       "              (988, 5.0),\n",
       "              (5645, 5.0),\n",
       "              (4664, 4.0),\n",
       "              (12068, 3.0),\n",
       "              (5075, 5.0),\n",
       "              (18486, 5.0),\n",
       "              (10713, 4.0),\n",
       "              (20177, 4.0)],\n",
       "             226: [(14131, 4.0),\n",
       "              (12732, 4.0),\n",
       "              (6985, 4.0),\n",
       "              (4087, 5.0),\n",
       "              (11274, 4.0),\n",
       "              (9499, 3.0),\n",
       "              (3641, 5.0)],\n",
       "             227: [(13154, 5.0),\n",
       "              (7462, 5.0),\n",
       "              (10400, 5.0),\n",
       "              (18254, 5.0),\n",
       "              (12684, 4.0)],\n",
       "             228: [(18194, 4.0),\n",
       "              (18405, 3.0),\n",
       "              (20342, 4.0),\n",
       "              (6185, 4.0),\n",
       "              (13336, 4.0),\n",
       "              (16972, 3.0),\n",
       "              (15333, 3.0)],\n",
       "             229: [(11586, 4.0),\n",
       "              (2112, 4.0),\n",
       "              (11192, 4.0),\n",
       "              (2907, 5.0),\n",
       "              (20943, 4.0)],\n",
       "             230: [(3470, 5.0),\n",
       "              (16912, 4.0),\n",
       "              (10732, 5.0),\n",
       "              (13349, 4.0),\n",
       "              (20686, 4.0),\n",
       "              (7940, 4.0)],\n",
       "             231: [(7205, 2.0), (10763, 4.0), (2249, 3.0)],\n",
       "             232: [(14608, 4.0),\n",
       "              (6390, 4.0),\n",
       "              (18734, 5.0),\n",
       "              (3162, 5.0),\n",
       "              (651, 5.0)],\n",
       "             233: [(8888, 5.0),\n",
       "              (8958, 4.0),\n",
       "              (12079, 5.0),\n",
       "              (13875, 5.0),\n",
       "              (9748, 4.0),\n",
       "              (20688, 3.0),\n",
       "              (11862, 4.0),\n",
       "              (3527, 4.0)],\n",
       "             234: [(1225, 5.0),\n",
       "              (10903, 5.0),\n",
       "              (19412, 5.0),\n",
       "              (1370, 5.0),\n",
       "              (4344, 5.0),\n",
       "              (8366, 5.0)],\n",
       "             235: [(4752, 3.0),\n",
       "              (2815, 4.0),\n",
       "              (12893, 3.0),\n",
       "              (2864, 4.0),\n",
       "              (3527, 4.0)],\n",
       "             236: [(12015, 2.0),\n",
       "              (20585, 5.0),\n",
       "              (7585, 4.0),\n",
       "              (3838, 5.0),\n",
       "              (3622, 5.0)],\n",
       "             237: [(2489, 5.0),\n",
       "              (998, 5.0),\n",
       "              (3264, 5.0),\n",
       "              (12169, 5.0),\n",
       "              (15737, 5.0)],\n",
       "             238: [(4068, 5.0),\n",
       "              (19064, 5.0),\n",
       "              (2943, 5.0),\n",
       "              (17644, 5.0),\n",
       "              (6494, 5.0),\n",
       "              (1918, 5.0)],\n",
       "             239: [(8632, 5.0),\n",
       "              (20066, 5.0),\n",
       "              (19994, 3.0),\n",
       "              (18776, 4.0),\n",
       "              (1468, 5.0)],\n",
       "             240: [(13979, 4.0),\n",
       "              (8853, 4.0),\n",
       "              (18373, 5.0),\n",
       "              (98, 4.0),\n",
       "              (9537, 5.0),\n",
       "              (751, 5.0),\n",
       "              (16011, 4.0),\n",
       "              (1425, 5.0),\n",
       "              (5028, 4.0),\n",
       "              (779, 5.0),\n",
       "              (15384, 4.0),\n",
       "              (17797, 4.0),\n",
       "              (6616, 5.0),\n",
       "              (1959, 5.0),\n",
       "              (17546, 5.0),\n",
       "              (576, 4.0),\n",
       "              (9913, 5.0),\n",
       "              (15133, 4.0)],\n",
       "             241: [(4273, 2.0), (6232, 4.0), (4834, 5.0)],\n",
       "             242: [(10512, 5.0),\n",
       "              (9544, 5.0),\n",
       "              (724, 5.0),\n",
       "              (2281, 5.0),\n",
       "              (7404, 5.0),\n",
       "              (2017, 5.0),\n",
       "              (3568, 5.0)],\n",
       "             243: [(8468, 4.0),\n",
       "              (12307, 4.0),\n",
       "              (1490, 5.0),\n",
       "              (1226, 4.0),\n",
       "              (6234, 4.0),\n",
       "              (16144, 4.0),\n",
       "              (12590, 3.0),\n",
       "              (7092, 4.0),\n",
       "              (20567, 3.0),\n",
       "              (5371, 4.0),\n",
       "              (3932, 3.0),\n",
       "              (19503, 4.0),\n",
       "              (10769, 4.0),\n",
       "              (2731, 4.0),\n",
       "              (17687, 4.0),\n",
       "              (17471, 4.0),\n",
       "              (7166, 3.0),\n",
       "              (14081, 3.0),\n",
       "              (9023, 3.0),\n",
       "              (1759, 3.0),\n",
       "              (10806, 3.0),\n",
       "              (19254, 3.0),\n",
       "              (150, 3.0),\n",
       "              (5710, 5.0),\n",
       "              (10749, 4.0),\n",
       "              (19900, 3.0),\n",
       "              (18658, 4.0),\n",
       "              (5373, 4.0),\n",
       "              (8051, 5.0),\n",
       "              (13651, 4.0),\n",
       "              (2721, 4.0),\n",
       "              (16188, 3.0),\n",
       "              (161, 3.0),\n",
       "              (7851, 3.0),\n",
       "              (8923, 3.0),\n",
       "              (11513, 2.0),\n",
       "              (19335, 3.0),\n",
       "              (9911, 3.0),\n",
       "              (17741, 3.0),\n",
       "              (10866, 3.0),\n",
       "              (8570, 3.0),\n",
       "              (19818, 3.0),\n",
       "              (4778, 4.0),\n",
       "              (7150, 3.0),\n",
       "              (1218, 3.0),\n",
       "              (12811, 4.0),\n",
       "              (5258, 4.0),\n",
       "              (2957, 4.0),\n",
       "              (9125, 3.0),\n",
       "              (1656, 3.0),\n",
       "              (20879, 1.0),\n",
       "              (16220, 4.0),\n",
       "              (3732, 3.0),\n",
       "              (1324, 3.0),\n",
       "              (2243, 3.0),\n",
       "              (1749, 4.0),\n",
       "              (10420, 4.0),\n",
       "              (4448, 4.0),\n",
       "              (7894, 3.0),\n",
       "              (17635, 3.0),\n",
       "              (14051, 3.0),\n",
       "              (20255, 4.0),\n",
       "              (850, 4.0),\n",
       "              (13230, 3.0),\n",
       "              (11434, 4.0),\n",
       "              (10413, 5.0),\n",
       "              (1736, 2.0),\n",
       "              (2271, 3.0),\n",
       "              (1802, 5.0),\n",
       "              (1572, 4.0),\n",
       "              (6348, 3.0),\n",
       "              (6208, 3.0),\n",
       "              (427, 5.0),\n",
       "              (2318, 4.0),\n",
       "              (20617, 2.0),\n",
       "              (12080, 5.0),\n",
       "              (13708, 5.0),\n",
       "              (12503, 4.0),\n",
       "              (14864, 3.0),\n",
       "              (15885, 3.0),\n",
       "              (4575, 3.0),\n",
       "              (13663, 2.0),\n",
       "              (19629, 4.0),\n",
       "              (7060, 4.0),\n",
       "              (8863, 5.0),\n",
       "              (12790, 3.0),\n",
       "              (20845, 4.0),\n",
       "              (20711, 5.0),\n",
       "              (6625, 2.0),\n",
       "              (7386, 5.0),\n",
       "              (21230, 3.0),\n",
       "              (1957, 3.0),\n",
       "              (4586, 5.0),\n",
       "              (3087, 4.0),\n",
       "              (3622, 4.0),\n",
       "              (13592, 3.0),\n",
       "              (7141, 4.0),\n",
       "              (20755, 4.0),\n",
       "              (2644, 4.0),\n",
       "              (14603, 2.0),\n",
       "              (10951, 4.0),\n",
       "              (688, 1.0),\n",
       "              (18712, 4.0),\n",
       "              (5067, 3.0),\n",
       "              (9745, 4.0),\n",
       "              (6375, 4.0),\n",
       "              (10039, 3.0),\n",
       "              (236, 5.0),\n",
       "              (10024, 3.0),\n",
       "              (8997, 3.0),\n",
       "              (9372, 4.0),\n",
       "              (7594, 3.0),\n",
       "              (9964, 4.0),\n",
       "              (14741, 2.0),\n",
       "              (1299, 3.0),\n",
       "              (5635, 4.0),\n",
       "              (12519, 2.0),\n",
       "              (8020, 4.0)],\n",
       "             244: [(2868, 4.0), (9933, 3.0), (7002, 4.0), (9802, 3.0)],\n",
       "             245: [(8971, 5.0), (4225, 5.0), (2274, 3.0)],\n",
       "             246: [(13375, 3.0), (3818, 4.0), (5957, 3.0)],\n",
       "             247: [(13757, 4.0),\n",
       "              (21033, 5.0),\n",
       "              (11669, 5.0),\n",
       "              (3736, 5.0),\n",
       "              (6917, 5.0),\n",
       "              (17490, 5.0),\n",
       "              (5527, 5.0)],\n",
       "             248: [(14136, 5.0), (10032, 5.0), (18169, 5.0)],\n",
       "             249: [(18575, 4.0),\n",
       "              (2361, 3.0),\n",
       "              (17902, 3.0),\n",
       "              (6957, 4.0),\n",
       "              (14808, 4.0),\n",
       "              (9584, 4.0),\n",
       "              (16029, 4.0),\n",
       "              (3198, 4.0),\n",
       "              (8694, 4.0),\n",
       "              (4159, 3.0),\n",
       "              (5694, 4.0),\n",
       "              (15666, 2.0),\n",
       "              (8857, 4.0),\n",
       "              (7722, 4.0),\n",
       "              (16411, 3.0),\n",
       "              (3736, 5.0),\n",
       "              (17490, 4.0),\n",
       "              (3476, 5.0),\n",
       "              (14556, 5.0),\n",
       "              (15311, 4.0),\n",
       "              (20717, 4.0),\n",
       "              (13213, 4.0),\n",
       "              (18414, 5.0),\n",
       "              (12901, 5.0),\n",
       "              (19610, 4.0),\n",
       "              (3185, 4.0),\n",
       "              (7314, 4.0),\n",
       "              (1859, 3.0),\n",
       "              (16368, 1.0),\n",
       "              (14157, 4.0),\n",
       "              (10725, 2.0),\n",
       "              (9970, 5.0),\n",
       "              (10917, 4.0),\n",
       "              (19553, 4.0),\n",
       "              (19378, 4.0),\n",
       "              (20327, 4.0),\n",
       "              (1412, 4.0),\n",
       "              (15908, 4.0),\n",
       "              (14558, 3.0),\n",
       "              (7530, 4.0),\n",
       "              (18161, 4.0),\n",
       "              (8510, 5.0),\n",
       "              (15270, 4.0),\n",
       "              (3021, 4.0),\n",
       "              (1254, 4.0),\n",
       "              (19969, 4.0),\n",
       "              (19482, 4.0),\n",
       "              (12437, 4.0),\n",
       "              (12828, 1.0),\n",
       "              (4240, 5.0),\n",
       "              (8517, 4.0),\n",
       "              (1379, 3.0),\n",
       "              (18564, 4.0),\n",
       "              (9767, 4.0),\n",
       "              (19865, 5.0),\n",
       "              (10367, 5.0),\n",
       "              (12425, 4.0),\n",
       "              (10204, 5.0),\n",
       "              (17172, 4.0),\n",
       "              (4211, 3.0),\n",
       "              (6325, 4.0),\n",
       "              (5476, 5.0),\n",
       "              (16686, 4.0)],\n",
       "             250: [(19176, 4.0),\n",
       "              (11316, 5.0),\n",
       "              (20290, 3.0),\n",
       "              (4765, 4.0),\n",
       "              (16214, 4.0)],\n",
       "             251: [(2222, 4.0),\n",
       "              (17089, 4.0),\n",
       "              (12183, 5.0),\n",
       "              (10137, 3.0),\n",
       "              (16541, 5.0),\n",
       "              (19104, 2.0)],\n",
       "             252: [(16886, 3.0),\n",
       "              (20406, 4.0),\n",
       "              (7297, 3.0),\n",
       "              (18878, 3.0),\n",
       "              (17718, 3.0),\n",
       "              (10233, 4.0),\n",
       "              (3066, 4.0),\n",
       "              (4922, 3.0),\n",
       "              (2082, 3.0),\n",
       "              (14550, 4.0),\n",
       "              (10805, 3.0),\n",
       "              (13882, 3.0),\n",
       "              (17498, 3.0),\n",
       "              (20242, 3.0),\n",
       "              (8281, 3.0),\n",
       "              (19634, 4.0),\n",
       "              (11546, 4.0),\n",
       "              (7966, 3.0),\n",
       "              (7671, 3.0),\n",
       "              (6136, 4.0)],\n",
       "             253: [(7320, 4.0),\n",
       "              (3309, 5.0),\n",
       "              (15524, 4.0),\n",
       "              (3885, 5.0),\n",
       "              (11061, 5.0),\n",
       "              (16855, 4.0)],\n",
       "             254: [(10782, 3.0), (5867, 4.0), (7498, 4.0), (3665, 2.0)],\n",
       "             255: [(13575, 5.0),\n",
       "              (21187, 4.0),\n",
       "              (17673, 5.0),\n",
       "              (6050, 4.0),\n",
       "              (8106, 4.0),\n",
       "              (3233, 5.0),\n",
       "              (10168, 4.0)],\n",
       "             256: [(9048, 5.0), (17241, 5.0), (20485, 5.0), (1269, 4.0)],\n",
       "             257: [(5033, 4.0),\n",
       "              (9524, 5.0),\n",
       "              (6879, 4.0),\n",
       "              (9983, 5.0),\n",
       "              (7167, 4.0),\n",
       "              (14844, 5.0)],\n",
       "             258: [(13401, 5.0),\n",
       "              (2601, 5.0),\n",
       "              (10738, 4.0),\n",
       "              (1599, 4.0),\n",
       "              (19391, 4.0)],\n",
       "             259: [(16496, 3.0), (12702, 3.0), (28, 5.0)],\n",
       "             260: [(14972, 4.0),\n",
       "              (1632, 5.0),\n",
       "              (1699, 5.0),\n",
       "              (10788, 5.0),\n",
       "              (8909, 4.0),\n",
       "              (17243, 5.0)],\n",
       "             261: [(7546, 5.0),\n",
       "              (9958, 5.0),\n",
       "              (15885, 5.0),\n",
       "              (4772, 5.0),\n",
       "              (8318, 4.0),\n",
       "              (9903, 5.0),\n",
       "              (17794, 5.0),\n",
       "              (14767, 5.0),\n",
       "              (20029, 5.0)],\n",
       "             262: [(17453, 4.0),\n",
       "              (9439, 3.0),\n",
       "              (4566, 5.0),\n",
       "              (20195, 4.0),\n",
       "              (6545, 3.0),\n",
       "              (20628, 5.0),\n",
       "              (7578, 4.0),\n",
       "              (10230, 2.0),\n",
       "              (6902, 5.0),\n",
       "              (14953, 3.0),\n",
       "              (10496, 3.0),\n",
       "              (18240, 4.0),\n",
       "              (20521, 5.0),\n",
       "              (14288, 4.0),\n",
       "              (18917, 5.0),\n",
       "              (1463, 3.0),\n",
       "              (3057, 4.0),\n",
       "              (11810, 4.0),\n",
       "              (16993, 4.0),\n",
       "              (5148, 3.0),\n",
       "              (3820, 3.0),\n",
       "              (12244, 4.0),\n",
       "              (1653, 5.0),\n",
       "              (19362, 4.0),\n",
       "              (8625, 3.0),\n",
       "              (10514, 4.0),\n",
       "              (1482, 3.0),\n",
       "              (15127, 4.0),\n",
       "              (13212, 4.0),\n",
       "              (6367, 3.0),\n",
       "              (9093, 3.0),\n",
       "              (5097, 4.0),\n",
       "              (4286, 5.0),\n",
       "              (13296, 4.0),\n",
       "              (19592, 4.0),\n",
       "              (20477, 4.0),\n",
       "              (15099, 4.0),\n",
       "              (9003, 5.0),\n",
       "              (6816, 2.0),\n",
       "              (617, 4.0),\n",
       "              (19738, 4.0),\n",
       "              (10239, 4.0),\n",
       "              (3339, 3.0),\n",
       "              (8807, 4.0),\n",
       "              (5768, 5.0),\n",
       "              (4208, 4.0),\n",
       "              (5531, 3.0),\n",
       "              (11051, 4.0),\n",
       "              (19680, 3.0),\n",
       "              (6808, 3.0),\n",
       "              (18823, 2.0),\n",
       "              (19932, 4.0),\n",
       "              (8631, 2.0),\n",
       "              (11835, 3.0),\n",
       "              (5579, 4.0),\n",
       "              (5816, 4.0),\n",
       "              (16907, 4.0),\n",
       "              (15079, 3.0),\n",
       "              (6743, 4.0),\n",
       "              (18341, 4.0),\n",
       "              (1415, 5.0),\n",
       "              (17298, 4.0),\n",
       "              (726, 4.0),\n",
       "              (8903, 4.0),\n",
       "              (28, 4.0),\n",
       "              (17918, 4.0),\n",
       "              (2868, 4.0),\n",
       "              (17965, 4.0),\n",
       "              (16756, 3.0),\n",
       "              (12749, 3.0),\n",
       "              (18356, 3.0),\n",
       "              (14568, 4.0),\n",
       "              (2122, 4.0),\n",
       "              (4674, 4.0),\n",
       "              (9621, 4.0),\n",
       "              (5023, 4.0),\n",
       "              (4090, 3.0),\n",
       "              (4784, 3.0),\n",
       "              (1079, 3.0),\n",
       "              (16924, 4.0),\n",
       "              (21109, 3.0),\n",
       "              (1217, 2.0),\n",
       "              (12131, 4.0),\n",
       "              (4037, 4.0),\n",
       "              (7097, 3.0),\n",
       "              (6228, 3.0)],\n",
       "             263: [(15357, 4.0),\n",
       "              (13720, 5.0),\n",
       "              (8850, 4.0),\n",
       "              (12856, 4.0),\n",
       "              (1663, 4.0),\n",
       "              (931, 4.0),\n",
       "              (15984, 5.0),\n",
       "              (20077, 3.0),\n",
       "              (20901, 3.0)],\n",
       "             264: [(8269, 5.0), (4653, 5.0), (1859, 5.0), (5038, 5.0)],\n",
       "             265: [(17854, 5.0),\n",
       "              (11032, 5.0),\n",
       "              (21118, 5.0),\n",
       "              (3294, 5.0),\n",
       "              (15381, 5.0),\n",
       "              (13745, 5.0),\n",
       "              (18221, 5.0)],\n",
       "             266: [(13536, 5.0),\n",
       "              (8798, 5.0),\n",
       "              (20731, 5.0),\n",
       "              (984, 5.0),\n",
       "              (9151, 5.0),\n",
       "              (213, 5.0)],\n",
       "             267: [(11207, 5.0),\n",
       "              (17833, 4.0),\n",
       "              (5304, 4.0),\n",
       "              (16610, 5.0),\n",
       "              (13814, 5.0)],\n",
       "             268: [(1770, 4.0),\n",
       "              (18693, 5.0),\n",
       "              (13567, 5.0),\n",
       "              (13599, 5.0),\n",
       "              (8810, 4.0),\n",
       "              (10744, 5.0)],\n",
       "             269: [(8698, 5.0),\n",
       "              (16289, 3.0),\n",
       "              (6807, 3.0),\n",
       "              (7529, 3.0),\n",
       "              (19504, 5.0)],\n",
       "             270: [(9805, 5.0),\n",
       "              (19020, 4.0),\n",
       "              (11550, 3.0),\n",
       "              (15781, 4.0),\n",
       "              (17481, 4.0)],\n",
       "             271: [(18562, 5.0),\n",
       "              (13873, 5.0),\n",
       "              (8183, 4.0),\n",
       "              (15138, 4.0),\n",
       "              (6802, 5.0)],\n",
       "             272: [(9608, 5.0),\n",
       "              (4875, 4.0),\n",
       "              (16601, 4.0),\n",
       "              (11824, 5.0),\n",
       "              (18736, 5.0),\n",
       "              (19979, 3.0)],\n",
       "             273: [(9993, 4.0),\n",
       "              (4563, 5.0),\n",
       "              (10358, 5.0),\n",
       "              (6469, 5.0),\n",
       "              (5669, 4.0),\n",
       "              (19705, 5.0),\n",
       "              (10456, 3.0),\n",
       "              (18098, 5.0)],\n",
       "             274: [(14339, 4.0),\n",
       "              (3066, 5.0),\n",
       "              (3730, 5.0),\n",
       "              (578, 4.0),\n",
       "              (3977, 5.0),\n",
       "              (6900, 4.0),\n",
       "              (11132, 5.0),\n",
       "              (11033, 4.0),\n",
       "              (13540, 5.0),\n",
       "              (15703, 5.0),\n",
       "              (15201, 5.0),\n",
       "              (4090, 3.0),\n",
       "              (5835, 3.0),\n",
       "              (7460, 4.0),\n",
       "              (7151, 4.0),\n",
       "              (1430, 3.0),\n",
       "              (9933, 5.0),\n",
       "              (12881, 4.0),\n",
       "              (13621, 5.0)],\n",
       "             275: [(10132, 4.0),\n",
       "              (14843, 3.0),\n",
       "              (8267, 5.0),\n",
       "              (16687, 4.0),\n",
       "              (3185, 4.0)],\n",
       "             276: [(3214, 3.0),\n",
       "              (3577, 5.0),\n",
       "              (16319, 5.0),\n",
       "              (1510, 4.0),\n",
       "              (12470, 5.0),\n",
       "              (14370, 4.0),\n",
       "              (13654, 4.0),\n",
       "              (12377, 5.0),\n",
       "              (7615, 4.0),\n",
       "              (2063, 4.0),\n",
       "              (2047, 4.0),\n",
       "              (16391, 4.0),\n",
       "              (17341, 3.0),\n",
       "              (12920, 3.0),\n",
       "              (18829, 4.0),\n",
       "              (6905, 4.0),\n",
       "              (6123, 3.0),\n",
       "              (15046, 3.0),\n",
       "              (17113, 4.0),\n",
       "              (331, 5.0),\n",
       "              (3320, 4.0),\n",
       "              (14738, 4.0),\n",
       "              (11130, 4.0),\n",
       "              (17839, 5.0),\n",
       "              (4263, 4.0),\n",
       "              (11971, 5.0),\n",
       "              (17694, 4.0),\n",
       "              (2492, 4.0),\n",
       "              (16240, 3.0),\n",
       "              (18652, 4.0),\n",
       "              (8749, 4.0),\n",
       "              (12769, 4.0),\n",
       "              (17053, 5.0),\n",
       "              (13233, 3.0),\n",
       "              (617, 5.0),\n",
       "              (11046, 3.0),\n",
       "              (7079, 3.0),\n",
       "              (1978, 2.0),\n",
       "              (1721, 3.0),\n",
       "              (16872, 4.0),\n",
       "              (8010, 3.0),\n",
       "              (8040, 3.0),\n",
       "              (6477, 4.0),\n",
       "              (4509, 4.0),\n",
       "              (3976, 4.0),\n",
       "              (13749, 4.0),\n",
       "              (861, 5.0),\n",
       "              (10636, 5.0),\n",
       "              (2106, 3.0),\n",
       "              (4911, 1.0),\n",
       "              (9524, 5.0),\n",
       "              (3694, 3.0),\n",
       "              (1080, 4.0),\n",
       "              (19184, 3.0),\n",
       "              (5736, 4.0),\n",
       "              (2603, 3.0),\n",
       "              (13366, 5.0),\n",
       "              (5242, 4.0),\n",
       "              (6472, 5.0),\n",
       "              (16062, 5.0),\n",
       "              (14903, 3.0),\n",
       "              (2869, 4.0),\n",
       "              (20743, 4.0),\n",
       "              (9408, 3.0),\n",
       "              (20207, 5.0),\n",
       "              (5156, 2.0),\n",
       "              (5188, 5.0),\n",
       "              (13467, 3.0),\n",
       "              (15674, 4.0),\n",
       "              (12617, 5.0),\n",
       "              (18487, 4.0),\n",
       "              (10447, 4.0),\n",
       "              (12320, 5.0)],\n",
       "             277: [(6852, 5.0),\n",
       "              (18522, 4.0),\n",
       "              (3695, 4.0),\n",
       "              (19754, 5.0),\n",
       "              (17708, 4.0)],\n",
       "             278: [(1245, 5.0), (10193, 5.0), (15660, 4.0)],\n",
       "             279: [(8267, 5.0),\n",
       "              (18447, 5.0),\n",
       "              (1399, 5.0),\n",
       "              (12584, 4.0),\n",
       "              (3759, 3.0)],\n",
       "             280: [(6053, 4.0),\n",
       "              (9285, 5.0),\n",
       "              (16073, 5.0),\n",
       "              (10462, 5.0),\n",
       "              (19695, 5.0),\n",
       "              (2044, 5.0),\n",
       "              (18497, 4.0),\n",
       "              (16415, 5.0),\n",
       "              (7748, 5.0),\n",
       "              (18082, 5.0)],\n",
       "             281: [(20118, 4.0),\n",
       "              (1408, 3.0),\n",
       "              (1430, 3.0),\n",
       "              (10424, 4.0),\n",
       "              (18788, 4.0),\n",
       "              (17911, 3.0),\n",
       "              (18833, 5.0),\n",
       "              (2277, 4.0),\n",
       "              (10934, 4.0),\n",
       "              (19021, 4.0),\n",
       "              (18726, 5.0),\n",
       "              (4897, 3.0)],\n",
       "             282: [(6327, 5.0),\n",
       "              (18007, 4.0),\n",
       "              (19629, 4.0),\n",
       "              (20152, 5.0),\n",
       "              (20255, 5.0),\n",
       "              (11806, 3.0),\n",
       "              (6149, 4.0),\n",
       "              (7092, 5.0),\n",
       "              (10749, 5.0),\n",
       "              (13771, 4.0),\n",
       "              (8290, 4.0),\n",
       "              (12755, 5.0),\n",
       "              (10436, 5.0),\n",
       "              (10599, 5.0),\n",
       "              (7141, 4.0),\n",
       "              (20036, 4.0),\n",
       "              (16887, 4.0),\n",
       "              (639, 5.0),\n",
       "              (16188, 5.0),\n",
       "              (5502, 5.0),\n",
       "              (19900, 3.0),\n",
       "              (15838, 4.0),\n",
       "              (11860, 5.0),\n",
       "              (13049, 5.0),\n",
       "              (12658, 5.0),\n",
       "              (788, 5.0),\n",
       "              (7066, 2.0),\n",
       "              (4407, 3.0),\n",
       "              (509, 5.0),\n",
       "              (216, 4.0),\n",
       "              (3707, 5.0),\n",
       "              (1706, 5.0),\n",
       "              (18875, 5.0)],\n",
       "             283: [(20412, 5.0),\n",
       "              (10277, 3.0),\n",
       "              (15644, 5.0),\n",
       "              (8783, 4.0),\n",
       "              (1449, 4.0),\n",
       "              (3014, 3.0),\n",
       "              (11205, 5.0),\n",
       "              (13475, 4.0),\n",
       "              (15965, 5.0)],\n",
       "             284: [(20939, 5.0),\n",
       "              (10190, 2.0),\n",
       "              (5645, 5.0),\n",
       "              (4111, 4.0),\n",
       "              (1988, 3.0),\n",
       "              (13460, 3.0),\n",
       "              (1189, 5.0)],\n",
       "             285: [(8852, 5.0),\n",
       "              (9516, 4.0),\n",
       "              (13764, 5.0),\n",
       "              (12052, 5.0),\n",
       "              (14632, 5.0),\n",
       "              (733, 5.0)],\n",
       "             286: [(14834, 3.0),\n",
       "              (8834, 5.0),\n",
       "              (3184, 1.0),\n",
       "              (18105, 3.0),\n",
       "              (11511, 5.0),\n",
       "              (13273, 3.0),\n",
       "              (7963, 5.0),\n",
       "              (13542, 5.0),\n",
       "              (16454, 3.0)],\n",
       "             287: [(6232, 4.0),\n",
       "              (1818, 5.0),\n",
       "              (9258, 5.0),\n",
       "              (4282, 5.0),\n",
       "              (219, 4.0),\n",
       "              (622, 3.0),\n",
       "              (8221, 4.0)],\n",
       "             288: [(17172, 4.0),\n",
       "              (8889, 4.0),\n",
       "              (6963, 5.0),\n",
       "              (2907, 5.0),\n",
       "              (14411, 4.0)],\n",
       "             289: [(15464, 4.0), (8197, 5.0), (8237, 4.0)],\n",
       "             290: [(14017, 4.0), (5908, 4.0), (4639, 4.0), (3514, 4.0)],\n",
       "             291: [(12627, 4.0),\n",
       "              (16276, 5.0),\n",
       "              (9799, 5.0),\n",
       "              (20473, 5.0),\n",
       "              (6096, 4.0),\n",
       "              (12265, 5.0),\n",
       "              (17148, 5.0),\n",
       "              (9037, 5.0),\n",
       "              (93, 5.0),\n",
       "              (8546, 5.0),\n",
       "              (6092, 5.0),\n",
       "              (2017, 5.0),\n",
       "              (9993, 5.0),\n",
       "              (12260, 5.0),\n",
       "              (134, 5.0),\n",
       "              (8880, 5.0)],\n",
       "             292: [(3992, 4.0),\n",
       "              (2235, 3.0),\n",
       "              (10863, 4.0),\n",
       "              (16599, 4.0),\n",
       "              (19185, 5.0),\n",
       "              (5351, 4.0),\n",
       "              (11704, 4.0),\n",
       "              (18798, 5.0),\n",
       "              (19947, 4.0),\n",
       "              (19893, 5.0),\n",
       "              (3790, 4.0),\n",
       "              (6255, 5.0),\n",
       "              (5046, 5.0),\n",
       "              (6586, 5.0),\n",
       "              (8275, 4.0),\n",
       "              (370, 4.0),\n",
       "              (905, 5.0),\n",
       "              (7903, 4.0),\n",
       "              (1468, 4.0),\n",
       "              (7791, 4.0),\n",
       "              (4922, 4.0),\n",
       "              (17938, 4.0),\n",
       "              (4329, 3.0),\n",
       "              (10478, 5.0),\n",
       "              (12452, 3.0),\n",
       "              (15534, 5.0),\n",
       "              (7291, 5.0),\n",
       "              (6885, 4.0),\n",
       "              (18110, 4.0),\n",
       "              (14487, 4.0),\n",
       "              (9173, 5.0),\n",
       "              (3403, 5.0),\n",
       "              (10786, 4.0),\n",
       "              (19790, 5.0),\n",
       "              (13181, 4.0),\n",
       "              (14312, 4.0),\n",
       "              (9269, 5.0),\n",
       "              (8157, 4.0)],\n",
       "             293: [(6359, 3.0),\n",
       "              (1089, 4.0),\n",
       "              (8618, 5.0),\n",
       "              (18932, 4.0),\n",
       "              (1167, 5.0),\n",
       "              (20991, 4.0),\n",
       "              (1886, 3.0),\n",
       "              (12365, 4.0),\n",
       "              (2118, 4.0),\n",
       "              (13987, 4.0),\n",
       "              (13463, 4.0),\n",
       "              (12683, 4.0),\n",
       "              (6614, 4.0),\n",
       "              (6204, 4.0),\n",
       "              (10429, 4.0),\n",
       "              (18563, 3.0),\n",
       "              (11821, 4.0),\n",
       "              (1598, 4.0),\n",
       "              (814, 3.0),\n",
       "              (17124, 4.0),\n",
       "              (1810, 2.0),\n",
       "              (6835, 2.0),\n",
       "              (4582, 4.0),\n",
       "              (3527, 2.0),\n",
       "              (265, 4.0),\n",
       "              (16131, 5.0),\n",
       "              (18355, 4.0),\n",
       "              (2670, 4.0)],\n",
       "             294: [(6497, 5.0),\n",
       "              (18656, 5.0),\n",
       "              (903, 5.0),\n",
       "              (8098, 5.0),\n",
       "              (977, 5.0),\n",
       "              (7727, 4.0)],\n",
       "             295: [(10296, 5.0), (12787, 4.0)],\n",
       "             296: [(5640, 5.0),\n",
       "              (4844, 5.0),\n",
       "              (11557, 4.0),\n",
       "              (7904, 5.0),\n",
       "              (17548, 5.0),\n",
       "              (19534, 4.0),\n",
       "              (5098, 5.0),\n",
       "              (18091, 5.0),\n",
       "              (9276, 5.0),\n",
       "              (12789, 5.0),\n",
       "              (4786, 5.0)],\n",
       "             297: [(435, 4.0),\n",
       "              (14789, 4.0),\n",
       "              (17444, 3.0),\n",
       "              (11536, 2.0),\n",
       "              (8346, 3.0),\n",
       "              (15599, 5.0),\n",
       "              (9273, 3.0)],\n",
       "             298: [(11454, 5.0), (13526, 4.0)],\n",
       "             299: [(17793, 2.0),\n",
       "              (3466, 3.0),\n",
       "              (11079, 4.0),\n",
       "              (15968, 1.0),\n",
       "              (15004, 1.0)],\n",
       "             300: [(2597, 4.0),\n",
       "              (20047, 5.0),\n",
       "              (10124, 5.0),\n",
       "              (20014, 5.0),\n",
       "              (10729, 4.0),\n",
       "              (18609, 5.0)],\n",
       "             301: [(13420, 5.0),\n",
       "              (13877, 4.0),\n",
       "              (19733, 5.0),\n",
       "              (14390, 4.0),\n",
       "              (18564, 5.0),\n",
       "              (18446, 4.0)],\n",
       "             302: [(19008, 4.0), (5533, 4.0), (20719, 4.0), (17260, 5.0)],\n",
       "             303: [(17287, 5.0),\n",
       "              (7381, 4.0),\n",
       "              (15607, 4.0),\n",
       "              (12144, 3.0),\n",
       "              (9768, 4.0),\n",
       "              (20553, 4.0),\n",
       "              (18917, 4.0),\n",
       "              (14916, 4.0),\n",
       "              (21077, 5.0),\n",
       "              (3641, 2.0),\n",
       "              (6936, 4.0),\n",
       "              (14765, 4.0),\n",
       "              (6553, 4.0),\n",
       "              (5507, 2.0),\n",
       "              (7339, 3.0),\n",
       "              (1482, 4.0),\n",
       "              (4713, 4.0),\n",
       "              (2468, 3.0),\n",
       "              (19567, 5.0),\n",
       "              (19884, 5.0),\n",
       "              (19421, 4.0),\n",
       "              (2761, 4.0),\n",
       "              (2774, 4.0),\n",
       "              (11205, 4.0),\n",
       "              (17447, 4.0),\n",
       "              (11729, 4.0),\n",
       "              (8930, 5.0),\n",
       "              (10030, 5.0),\n",
       "              (15193, 3.0),\n",
       "              (20332, 3.0),\n",
       "              (19138, 4.0),\n",
       "              (11385, 2.0),\n",
       "              (15150, 3.0),\n",
       "              (19041, 4.0),\n",
       "              (16578, 3.0),\n",
       "              (17413, 4.0),\n",
       "              (6280, 2.0),\n",
       "              (16551, 3.0),\n",
       "              (4709, 3.0)],\n",
       "             304: [(14464, 5.0), (20937, 4.0), (20080, 2.0), (19677, 2.0)],\n",
       "             305: [(20088, 5.0), (3693, 5.0), (18120, 5.0)],\n",
       "             306: [(9608, 5.0),\n",
       "              (7881, 5.0),\n",
       "              (14961, 4.0),\n",
       "              (5153, 5.0),\n",
       "              (4875, 4.0),\n",
       "              (14390, 5.0),\n",
       "              (4787, 4.0),\n",
       "              (18736, 5.0),\n",
       "              (12287, 4.0),\n",
       "              (896, 4.0),\n",
       "              (18462, 5.0),\n",
       "              (1036, 4.0),\n",
       "              (13100, 4.0)],\n",
       "             307: [(518, 5.0),\n",
       "              (10679, 4.0),\n",
       "              (7443, 4.0),\n",
       "              (2977, 4.0),\n",
       "              (16916, 4.0),\n",
       "              (3881, 4.0),\n",
       "              (8973, 4.0),\n",
       "              (10230, 3.0)],\n",
       "             308: [(1980, 4.0), (20691, 5.0), (962, 5.0), (15229, 4.0)],\n",
       "             309: [(18903, 5.0), (11281, 5.0)],\n",
       "             310: [(11806, 5.0),\n",
       "              (19629, 5.0),\n",
       "              (19488, 5.0),\n",
       "              (16144, 5.0),\n",
       "              (8941, 5.0)],\n",
       "             311: [(11499, 4.0), (11220, 5.0), (14659, 4.0), (4499, 5.0)],\n",
       "             312: [(11644, 3.0),\n",
       "              (4392, 5.0),\n",
       "              (5055, 4.0),\n",
       "              (8866, 3.0),\n",
       "              (11629, 4.0),\n",
       "              (2256, 5.0)],\n",
       "             313: [(949, 5.0), (5635, 5.0), (5690, 5.0), (19514, 5.0)],\n",
       "             314: [(11881, 4.0),\n",
       "              (16155, 5.0),\n",
       "              (2398, 5.0),\n",
       "              (17969, 5.0),\n",
       "              (3100, 4.0),\n",
       "              (6563, 3.0),\n",
       "              (9720, 4.0),\n",
       "              (5507, 3.0),\n",
       "              (4781, 4.0),\n",
       "              (6514, 4.0),\n",
       "              (3408, 4.0),\n",
       "              (18336, 5.0),\n",
       "              (791, 4.0),\n",
       "              (6280, 4.0),\n",
       "              (10045, 5.0),\n",
       "              (18905, 4.0),\n",
       "              (15745, 4.0),\n",
       "              (7050, 5.0),\n",
       "              (14643, 5.0),\n",
       "              (20311, 4.0),\n",
       "              (9424, 4.0),\n",
       "              (11283, 3.0),\n",
       "              (20865, 4.0),\n",
       "              (328, 4.0),\n",
       "              (17709, 5.0),\n",
       "              (18466, 4.0),\n",
       "              (14839, 4.0),\n",
       "              (5425, 4.0),\n",
       "              (8674, 5.0),\n",
       "              (13002, 3.0),\n",
       "              (13188, 4.0),\n",
       "              (17296, 3.0),\n",
       "              (404, 3.0),\n",
       "              (15266, 5.0),\n",
       "              (9675, 4.0),\n",
       "              (8351, 5.0),\n",
       "              (7339, 4.0),\n",
       "              (20881, 5.0)],\n",
       "             315: [(4310, 5.0),\n",
       "              (5491, 5.0),\n",
       "              (15597, 4.0),\n",
       "              (18202, 4.0),\n",
       "              (7349, 5.0),\n",
       "              (17327, 4.0),\n",
       "              (13092, 4.0),\n",
       "              (13616, 4.0),\n",
       "              (528, 5.0)],\n",
       "             316: [(17381, 4.0),\n",
       "              (10198, 4.0),\n",
       "              (8168, 4.0),\n",
       "              (2244, 4.0),\n",
       "              (10006, 4.0)],\n",
       "             317: [(4258, 5.0), (10810, 5.0), (1531, 5.0), (20251, 4.0)],\n",
       "             318: [(19951, 3.0),\n",
       "              (12340, 5.0),\n",
       "              (12613, 4.0),\n",
       "              (19629, 4.0),\n",
       "              (20716, 3.0),\n",
       "              (3318, 4.0),\n",
       "              (18894, 5.0),\n",
       "              (6897, 4.0),\n",
       "              (13313, 5.0),\n",
       "              (4233, 4.0),\n",
       "              (4772, 4.0)],\n",
       "             319: [(619, 5.0),\n",
       "              (16441, 4.0),\n",
       "              (5106, 5.0),\n",
       "              (545, 4.0),\n",
       "              (17022, 4.0),\n",
       "              (15746, 4.0),\n",
       "              (16524, 4.0),\n",
       "              (20017, 4.0),\n",
       "              (9754, 4.0),\n",
       "              (1763, 5.0),\n",
       "              (1426, 4.0),\n",
       "              (11608, 3.0),\n",
       "              (15072, 5.0),\n",
       "              (11186, 4.0),\n",
       "              (8411, 2.0),\n",
       "              (18888, 4.0),\n",
       "              (5922, 4.0),\n",
       "              (18225, 4.0),\n",
       "              (759, 4.0),\n",
       "              (7340, 4.0),\n",
       "              (1465, 4.0),\n",
       "              (13504, 4.0),\n",
       "              (13354, 3.0),\n",
       "              (6727, 3.0),\n",
       "              (16726, 4.0),\n",
       "              (2929, 4.0),\n",
       "              (20977, 5.0),\n",
       "              (18383, 5.0),\n",
       "              (14480, 4.0),\n",
       "              (20550, 4.0),\n",
       "              (11807, 4.0),\n",
       "              (21292, 3.0),\n",
       "              (9312, 3.0),\n",
       "              (15760, 3.0),\n",
       "              (20596, 4.0),\n",
       "              (17887, 4.0),\n",
       "              (16935, 4.0),\n",
       "              (3154, 3.0),\n",
       "              (18962, 4.0),\n",
       "              (6284, 4.0),\n",
       "              (3228, 3.0),\n",
       "              (13383, 4.0),\n",
       "              (7537, 5.0),\n",
       "              (9653, 4.0),\n",
       "              (441, 5.0),\n",
       "              (9998, 5.0),\n",
       "              (6426, 4.0),\n",
       "              (2795, 5.0),\n",
       "              (10862, 5.0),\n",
       "              (13894, 4.0),\n",
       "              (32, 3.0),\n",
       "              (303, 4.0),\n",
       "              (16655, 4.0),\n",
       "              (10371, 5.0),\n",
       "              (19476, 4.0),\n",
       "              (19708, 3.0),\n",
       "              (16948, 4.0),\n",
       "              (13863, 3.0),\n",
       "              (14118, 4.0),\n",
       "              (21050, 4.0),\n",
       "              (7977, 5.0),\n",
       "              (20085, 4.0),\n",
       "              (2413, 3.0),\n",
       "              (1328, 5.0),\n",
       "              (8419, 4.0),\n",
       "              (16087, 4.0),\n",
       "              (9979, 4.0),\n",
       "              (1569, 4.0),\n",
       "              (12117, 4.0),\n",
       "              (15450, 4.0),\n",
       "              (19245, 4.0),\n",
       "              (2195, 3.0),\n",
       "              (2890, 4.0),\n",
       "              (12201, 4.0),\n",
       "              (16402, 4.0),\n",
       "              (13111, 4.0),\n",
       "              (825, 4.0),\n",
       "              (19889, 3.0),\n",
       "              (17231, 5.0),\n",
       "              (5103, 3.0),\n",
       "              (2510, 4.0),\n",
       "              (18596, 4.0),\n",
       "              (6559, 4.0),\n",
       "              (2898, 4.0),\n",
       "              (10840, 3.0),\n",
       "              (10971, 4.0),\n",
       "              (4984, 4.0),\n",
       "              (7040, 4.0),\n",
       "              (11574, 3.0),\n",
       "              (14850, 4.0),\n",
       "              (18182, 3.0),\n",
       "              (8551, 4.0),\n",
       "              (3873, 4.0),\n",
       "              (9863, 4.0),\n",
       "              (2889, 4.0),\n",
       "              (3079, 5.0),\n",
       "              (975, 4.0),\n",
       "              (6190, 4.0),\n",
       "              (21172, 5.0),\n",
       "              (12566, 4.0),\n",
       "              (15184, 4.0),\n",
       "              (11710, 2.0),\n",
       "              (20436, 4.0),\n",
       "              (12714, 3.0)],\n",
       "             320: [(3979, 5.0),\n",
       "              (16254, 5.0),\n",
       "              (2165, 5.0),\n",
       "              (15995, 5.0),\n",
       "              (17666, 5.0),\n",
       "              (19734, 4.0),\n",
       "              (5287, 4.0)],\n",
       "             321: [(5756, 4.0), (13326, 5.0), (1959, 5.0), (17630, 5.0)],\n",
       "             322: [(19469, 4.0), (2244, 5.0), (9426, 5.0), (17588, 3.0)],\n",
       "             323: [(10429, 5.0), (21164, 4.0), (497, 4.0)],\n",
       "             324: [(8747, 5.0), (2350, 3.0), (9255, 5.0), (3948, 4.0)],\n",
       "             325: [(6654, 5.0),\n",
       "              (1261, 2.0),\n",
       "              (19755, 4.0),\n",
       "              (6664, 5.0),\n",
       "              (3923, 5.0),\n",
       "              (13091, 5.0),\n",
       "              (2686, 4.0),\n",
       "              (8890, 5.0),\n",
       "              (14285, 5.0),\n",
       "              (2256, 5.0),\n",
       "              (10474, 5.0),\n",
       "              (6082, 5.0),\n",
       "              (7060, 5.0),\n",
       "              (12303, 5.0),\n",
       "              (6550, 5.0),\n",
       "              (1581, 4.0),\n",
       "              (15784, 5.0),\n",
       "              (8418, 4.0)],\n",
       "             326: [(12658, 5.0), (15293, 5.0), (14461, 5.0)],\n",
       "             327: [(4875, 4.0),\n",
       "              (1414, 4.0),\n",
       "              (896, 4.0),\n",
       "              (20168, 4.0),\n",
       "              (19944, 4.0),\n",
       "              (8459, 4.0),\n",
       "              (14843, 4.0),\n",
       "              (5982, 4.0)],\n",
       "             328: [(13220, 5.0), (11532, 5.0), (3156, 5.0), (8298, 4.0)],\n",
       "             329: [(20572, 4.0),\n",
       "              (4071, 5.0),\n",
       "              (8639, 5.0),\n",
       "              (17023, 5.0),\n",
       "              (18776, 4.0),\n",
       "              (6256, 3.0),\n",
       "              (11048, 5.0),\n",
       "              (1268, 5.0),\n",
       "              (19621, 5.0),\n",
       "              (2894, 5.0),\n",
       "              (5189, 5.0),\n",
       "              (17604, 4.0)],\n",
       "             330: [(14749, 5.0),\n",
       "              (3599, 4.0),\n",
       "              (4167, 5.0),\n",
       "              (11795, 5.0),\n",
       "              (8695, 5.0),\n",
       "              (9847, 5.0),\n",
       "              (10768, 5.0),\n",
       "              (8994, 4.0)],\n",
       "             331: [(6766, 3.0),\n",
       "              (10251, 5.0),\n",
       "              (14870, 4.0),\n",
       "              (8070, 5.0),\n",
       "              (12434, 4.0)],\n",
       "             332: [(16351, 2.0), (7235, 5.0), (5178, 2.0), (16739, 2.0)],\n",
       "             333: [(10793, 4.0),\n",
       "              (11849, 5.0),\n",
       "              (3100, 5.0),\n",
       "              (10230, 4.0),\n",
       "              (5889, 4.0),\n",
       "              (16333, 4.0),\n",
       "              (12144, 5.0),\n",
       "              (555, 4.0),\n",
       "              (16878, 4.0),\n",
       "              (10761, 4.0),\n",
       "              (10514, 5.0),\n",
       "              (28, 5.0),\n",
       "              (2770, 4.0),\n",
       "              (20261, 5.0),\n",
       "              (11169, 4.0),\n",
       "              (3820, 3.0),\n",
       "              (874, 4.0),\n",
       "              (9491, 3.0),\n",
       "              (13008, 5.0),\n",
       "              (6466, 4.0),\n",
       "              (17785, 4.0),\n",
       "              (18433, 4.0),\n",
       "              (15959, 3.0),\n",
       "              (15761, 5.0),\n",
       "              (12758, 4.0),\n",
       "              (14289, 3.0),\n",
       "              (11075, 3.0),\n",
       "              (268, 5.0),\n",
       "              (15002, 3.0),\n",
       "              (15445, 4.0),\n",
       "              (11810, 3.0),\n",
       "              (1079, 5.0),\n",
       "              (8060, 5.0),\n",
       "              (7697, 4.0),\n",
       "              (9524, 5.0),\n",
       "              (3252, 5.0),\n",
       "              (9859, 4.0),\n",
       "              (15193, 4.0),\n",
       "              (21268, 3.0),\n",
       "              (18729, 3.0),\n",
       "              (5376, 3.0),\n",
       "              (2868, 5.0),\n",
       "              (4712, 3.0),\n",
       "              (12485, 3.0)],\n",
       "             334: [(127, 5.0),\n",
       "              (5049, 5.0),\n",
       "              (12889, 4.0),\n",
       "              (9458, 5.0),\n",
       "              (8469, 5.0),\n",
       "              (3246, 5.0),\n",
       "              (16870, 5.0),\n",
       "              (19477, 4.0),\n",
       "              (14164, 5.0),\n",
       "              (7138, 5.0)],\n",
       "             335: [(9837, 5.0),\n",
       "              (7866, 4.0),\n",
       "              (18985, 5.0),\n",
       "              (15599, 5.0),\n",
       "              (14719, 4.0),\n",
       "              (15887, 5.0),\n",
       "              (16569, 4.0),\n",
       "              (7869, 4.0),\n",
       "              (2089, 5.0),\n",
       "              (11692, 4.0),\n",
       "              (11078, 5.0),\n",
       "              (2421, 5.0)],\n",
       "             336: [(13182, 5.0),\n",
       "              (13569, 5.0),\n",
       "              (1399, 5.0),\n",
       "              (17047, 4.0),\n",
       "              (653, 5.0),\n",
       "              (15585, 5.0)],\n",
       "             337: [(1099, 4.0), (11087, 3.0), (13834, 5.0), (879, 4.0)],\n",
       "             338: [(14516, 5.0),\n",
       "              (15111, 5.0),\n",
       "              (18430, 5.0),\n",
       "              (13773, 4.0),\n",
       "              (18366, 5.0),\n",
       "              (9211, 5.0)],\n",
       "             339: [(9375, 5.0),\n",
       "              (4834, 4.0),\n",
       "              (9348, 3.0),\n",
       "              (6809, 5.0),\n",
       "              (11650, 2.0),\n",
       "              (7497, 5.0),\n",
       "              (10738, 5.0),\n",
       "              (18276, 3.0),\n",
       "              (137, 5.0),\n",
       "              (12338, 4.0),\n",
       "              (5515, 4.0),\n",
       "              (11038, 2.0),\n",
       "              (6771, 3.0),\n",
       "              (9295, 5.0),\n",
       "              (1440, 3.0),\n",
       "              (17029, 4.0),\n",
       "              (7346, 3.0),\n",
       "              (19467, 4.0),\n",
       "              (12968, 3.0),\n",
       "              (8557, 5.0),\n",
       "              (4241, 5.0),\n",
       "              (12499, 3.0),\n",
       "              (6954, 3.0),\n",
       "              (16810, 3.0),\n",
       "              (9222, 3.0),\n",
       "              (2805, 4.0),\n",
       "              (8176, 2.0),\n",
       "              (828, 3.0),\n",
       "              (7753, 1.0)],\n",
       "             340: [(10348, 4.0), (21132, 3.0), (13134, 5.0), (11178, 5.0)],\n",
       "             341: [(8691, 5.0),\n",
       "              (14645, 5.0),\n",
       "              (6896, 5.0),\n",
       "              (14073, 4.0),\n",
       "              (19396, 5.0),\n",
       "              (935, 3.0)],\n",
       "             342: [(18938, 4.0),\n",
       "              (11027, 4.0),\n",
       "              (20092, 2.0),\n",
       "              (3335, 4.0),\n",
       "              (9580, 5.0),\n",
       "              (13222, 1.0),\n",
       "              (6793, 5.0),\n",
       "              (15196, 5.0),\n",
       "              (8369, 1.0),\n",
       "              (9655, 1.0)],\n",
       "             343: [(15927, 5.0), (6697, 3.0), (17069, 4.0)],\n",
       "             344: [(3511, 4.0),\n",
       "              (15680, 4.0),\n",
       "              (17095, 5.0),\n",
       "              (11338, 5.0),\n",
       "              (3246, 5.0)],\n",
       "             345: [(5802, 3.0), (10239, 5.0), (2969, 5.0), (9366, 5.0)],\n",
       "             346: [(14369, 2.0),\n",
       "              (18181, 1.0),\n",
       "              (5971, 5.0),\n",
       "              (14665, 4.0),\n",
       "              (14961, 4.0)],\n",
       "             347: [(15844, 4.0),\n",
       "              (19186, 5.0),\n",
       "              (9489, 5.0),\n",
       "              (9283, 5.0),\n",
       "              (392, 5.0),\n",
       "              (2620, 5.0),\n",
       "              (9882, 5.0),\n",
       "              (7603, 5.0)],\n",
       "             348: [(16715, 5.0),\n",
       "              (5192, 5.0),\n",
       "              (10042, 5.0),\n",
       "              (21055, 5.0),\n",
       "              (14662, 5.0)],\n",
       "             349: [(4391, 4.0),\n",
       "              (15551, 5.0),\n",
       "              (17117, 4.0),\n",
       "              (6690, 5.0),\n",
       "              (2520, 4.0)],\n",
       "             350: [(1518, 4.0),\n",
       "              (16672, 5.0),\n",
       "              (5181, 5.0),\n",
       "              (1692, 4.0),\n",
       "              (3886, 5.0),\n",
       "              (1677, 4.0),\n",
       "              (3176, 4.0),\n",
       "              (5194, 5.0),\n",
       "              (17720, 3.0),\n",
       "              (10436, 5.0),\n",
       "              (18288, 3.0),\n",
       "              (10962, 4.0),\n",
       "              (5196, 4.0),\n",
       "              (2081, 5.0),\n",
       "              (3498, 5.0),\n",
       "              (9372, 4.0),\n",
       "              (11648, 3.0),\n",
       "              (8743, 4.0),\n",
       "              (336, 4.0),\n",
       "              (11066, 5.0),\n",
       "              (11662, 3.0),\n",
       "              (16868, 4.0),\n",
       "              (13380, 5.0),\n",
       "              (10703, 3.0),\n",
       "              (12028, 5.0),\n",
       "              (19854, 2.0),\n",
       "              (363, 3.0),\n",
       "              (19196, 4.0),\n",
       "              (2564, 4.0),\n",
       "              (6592, 4.0),\n",
       "              (14674, 5.0),\n",
       "              (12908, 5.0),\n",
       "              (19585, 4.0),\n",
       "              (4026, 4.0),\n",
       "              (17045, 4.0),\n",
       "              (15394, 5.0),\n",
       "              (4651, 5.0),\n",
       "              (12440, 5.0),\n",
       "              (4511, 4.0),\n",
       "              (20928, 4.0),\n",
       "              (10259, 4.0),\n",
       "              (3676, 5.0),\n",
       "              (17930, 5.0),\n",
       "              (4935, 4.0),\n",
       "              (17441, 4.0),\n",
       "              (5939, 2.0),\n",
       "              (15455, 4.0),\n",
       "              (9097, 3.0),\n",
       "              (523, 5.0),\n",
       "              (6275, 5.0),\n",
       "              (13956, 3.0),\n",
       "              (6327, 3.0),\n",
       "              (1859, 4.0),\n",
       "              (12705, 3.0),\n",
       "              (8858, 5.0),\n",
       "              (9835, 5.0),\n",
       "              (15569, 5.0),\n",
       "              (17344, 2.0),\n",
       "              (9745, 5.0),\n",
       "              (15887, 5.0),\n",
       "              (5055, 5.0),\n",
       "              (14259, 4.0),\n",
       "              (13836, 4.0),\n",
       "              (19364, 4.0),\n",
       "              (12281, 4.0),\n",
       "              (12519, 3.0),\n",
       "              (2205, 4.0),\n",
       "              (12216, 3.0),\n",
       "              (393, 3.0),\n",
       "              (10868, 4.0),\n",
       "              (20236, 3.0),\n",
       "              (8780, 5.0),\n",
       "              (11227, 4.0),\n",
       "              (11443, 3.0),\n",
       "              (933, 2.0),\n",
       "              (16368, 4.0),\n",
       "              (19629, 4.0),\n",
       "              (11629, 3.0),\n",
       "              (12811, 4.0),\n",
       "              (10198, 5.0),\n",
       "              (16220, 5.0),\n",
       "              (19270, 3.0),\n",
       "              (18585, 5.0),\n",
       "              (1656, 5.0),\n",
       "              (20474, 5.0),\n",
       "              (2399, 3.0),\n",
       "              (18999, 4.0),\n",
       "              (7851, 5.0),\n",
       "              (9524, 5.0),\n",
       "              (11190, 5.0),\n",
       "              (160, 5.0),\n",
       "              (8578, 3.0),\n",
       "              (13650, 3.0),\n",
       "              (7869, 5.0),\n",
       "              (5867, 4.0),\n",
       "              (1572, 4.0),\n",
       "              (18505, 2.0),\n",
       "              (3824, 5.0),\n",
       "              (7060, 5.0),\n",
       "              (17483, 4.0),\n",
       "              (18055, 2.0),\n",
       "              (8057, 5.0),\n",
       "              (20523, 5.0),\n",
       "              (5078, 2.0),\n",
       "              (3664, 2.0),\n",
       "              (2243, 1.0),\n",
       "              (4420, 5.0),\n",
       "              (19855, 4.0),\n",
       "              (14802, 5.0),\n",
       "              (10814, 4.0),\n",
       "              (2657, 4.0),\n",
       "              (7124, 5.0),\n",
       "              (10713, 4.0),\n",
       "              (10420, 4.0),\n",
       "              (19254, 3.0),\n",
       "              (3563, 2.0),\n",
       "              (13533, 4.0),\n",
       "              (3735, 3.0),\n",
       "              (170, 3.0),\n",
       "              (6584, 4.0),\n",
       "              (509, 5.0),\n",
       "              (11172, 4.0),\n",
       "              (11719, 3.0),\n",
       "              (9158, 3.0),\n",
       "              (8078, 3.0),\n",
       "              (14867, 5.0),\n",
       "              (8816, 3.0),\n",
       "              (12303, 3.0),\n",
       "              (610, 2.0),\n",
       "              (14192, 4.0),\n",
       "              (18658, 4.0),\n",
       "              (11043, 4.0),\n",
       "              (7307, 4.0),\n",
       "              (13300, 4.0),\n",
       "              (11994, 4.0),\n",
       "              (8188, 2.0),\n",
       "              (1844, 3.0),\n",
       "              (14824, 4.0),\n",
       "              (9934, 4.0),\n",
       "              (8863, 4.0),\n",
       "              (427, 5.0),\n",
       "              (4513, 5.0),\n",
       "              (3815, 2.0),\n",
       "              (7632, 4.0),\n",
       "              (10019, 4.0),\n",
       "              (9958, 2.0),\n",
       "              (6622, 4.0),\n",
       "              (15771, 5.0),\n",
       "              (3838, 5.0),\n",
       "              (17554, 4.0),\n",
       "              (18893, 5.0),\n",
       "              (546, 5.0),\n",
       "              (8267, 5.0),\n",
       "              (13590, 4.0),\n",
       "              (7986, 5.0),\n",
       "              (3743, 5.0),\n",
       "              (16829, 3.0),\n",
       "              (10216, 3.0),\n",
       "              (7147, 4.0),\n",
       "              (7431, 4.0),\n",
       "              (15057, 3.0),\n",
       "              (17689, 4.0),\n",
       "              (5995, 5.0),\n",
       "              (10413, 3.0),\n",
       "              (1860, 5.0),\n",
       "              (169, 4.0),\n",
       "              (10464, 4.0),\n",
       "              (16424, 5.0),\n",
       "              (3484, 2.0),\n",
       "              (7959, 3.0),\n",
       "              (1736, 4.0),\n",
       "              (4058, 3.0),\n",
       "              (8305, 3.0),\n",
       "              (608, 3.0),\n",
       "              (4328, 4.0),\n",
       "              (12658, 4.0),\n",
       "              (11644, 4.0),\n",
       "              (3975, 4.0),\n",
       "              (15241, 4.0),\n",
       "              (7269, 2.0),\n",
       "              (127, 5.0),\n",
       "              (7069, 5.0),\n",
       "              (4340, 5.0),\n",
       "              (4357, 3.0),\n",
       "              (4114, 2.0),\n",
       "              (6162, 4.0),\n",
       "              (1339, 5.0),\n",
       "              (4553, 4.0),\n",
       "              (2577, 4.0),\n",
       "              (11944, 4.0),\n",
       "              (7390, 4.0),\n",
       "              (18764, 5.0),\n",
       "              (20996, 4.0),\n",
       "              (8051, 5.0),\n",
       "              (1490, 4.0)],\n",
       "             351: [(1390, 4.0), (17429, 5.0), (622, 3.0)],\n",
       "             352: [(17714, 5.0),\n",
       "              (7829, 5.0),\n",
       "              (20016, 5.0),\n",
       "              (1425, 5.0),\n",
       "              (19293, 5.0),\n",
       "              (10015, 5.0),\n",
       "              (15752, 5.0),\n",
       "              (2344, 1.0),\n",
       "              (485, 5.0)],\n",
       "             353: [(13223, 5.0),\n",
       "              (4971, 4.0),\n",
       "              (2141, 5.0),\n",
       "              (18190, 5.0),\n",
       "              (12226, 4.0),\n",
       "              (14082, 5.0),\n",
       "              (12988, 3.0),\n",
       "              (20983, 4.0),\n",
       "              (5143, 5.0),\n",
       "              (1867, 5.0),\n",
       "              (17199, 5.0),\n",
       "              (17570, 4.0)],\n",
       "             354: [(17892, 5.0),\n",
       "              (21253, 5.0),\n",
       "              (14144, 4.0),\n",
       "              (9240, 4.0),\n",
       "              (18497, 5.0),\n",
       "              (15631, 4.0),\n",
       "              (20998, 5.0),\n",
       "              (18160, 4.0),\n",
       "              (12762, 4.0),\n",
       "              (11696, 5.0),\n",
       "              (12453, 5.0),\n",
       "              (13204, 4.0),\n",
       "              (4518, 4.0),\n",
       "              (1835, 4.0)],\n",
       "             355: [(2651, 4.0),\n",
       "              (1113, 3.0),\n",
       "              (5566, 3.0),\n",
       "              (13863, 3.0),\n",
       "              (17613, 5.0),\n",
       "              (1320, 4.0),\n",
       "              (17792, 4.0),\n",
       "              (17103, 4.0),\n",
       "              (2362, 5.0)],\n",
       "             356: [(3982, 5.0),\n",
       "              (17123, 5.0),\n",
       "              (17611, 5.0),\n",
       "              (4898, 5.0),\n",
       "              (4432, 4.0),\n",
       "              (19878, 4.0),\n",
       "              (17982, 4.0),\n",
       "              (16071, 3.0),\n",
       "              (6079, 4.0),\n",
       "              (16785, 1.0),\n",
       "              (18737, 5.0),\n",
       "              (10867, 5.0),\n",
       "              (584, 5.0),\n",
       "              (4018, 5.0),\n",
       "              (2935, 5.0),\n",
       "              (3690, 3.0),\n",
       "              (14462, 4.0),\n",
       "              (8861, 5.0),\n",
       "              (5207, 4.0),\n",
       "              (2261, 4.0),\n",
       "              (9802, 4.0),\n",
       "              (13054, 5.0),\n",
       "              (20195, 5.0)],\n",
       "             357: [(15972, 5.0), (9947, 5.0), (9700, 5.0), (8615, 3.0)],\n",
       "             358: [(7419, 5.0), (10951, 4.0), (19629, 5.0), (11190, 5.0)],\n",
       "             359: [(14680, 5.0),\n",
       "              (7162, 4.0),\n",
       "              (16782, 5.0),\n",
       "              (6899, 5.0),\n",
       "              (13796, 5.0),\n",
       "              (2424, 4.0),\n",
       "              (14012, 4.0),\n",
       "              (8994, 4.0)],\n",
       "             360: [(4241, 4.0),\n",
       "              (6317, 5.0),\n",
       "              (10332, 4.0),\n",
       "              (4421, 5.0),\n",
       "              (16623, 4.0)],\n",
       "             361: [(20105, 5.0),\n",
       "              (4795, 4.0),\n",
       "              (1386, 2.0),\n",
       "              (1280, 5.0),\n",
       "              (19416, 5.0),\n",
       "              (18617, 4.0),\n",
       "              (3027, 1.0),\n",
       "              (21066, 2.0)],\n",
       "             362: [(11057, 5.0),\n",
       "              (6418, 4.0),\n",
       "              (2794, 5.0),\n",
       "              (9969, 5.0),\n",
       "              (10230, 5.0),\n",
       "              (11082, 5.0),\n",
       "              (3491, 5.0)],\n",
       "             363: [(2997, 4.0),\n",
       "              (14396, 4.0),\n",
       "              (12633, 3.0),\n",
       "              (5222, 4.0),\n",
       "              (677, 4.0),\n",
       "              (15513, 5.0),\n",
       "              (10622, 5.0)],\n",
       "             364: [(16024, 3.0),\n",
       "              (11225, 4.0),\n",
       "              (16034, 3.0),\n",
       "              (6155, 4.0),\n",
       "              (7513, 4.0),\n",
       "              (12756, 2.0),\n",
       "              (15051, 3.0),\n",
       "              (8636, 4.0),\n",
       "              (16868, 5.0),\n",
       "              (543, 2.0),\n",
       "              (77, 4.0),\n",
       "              (1442, 3.0),\n",
       "              (14698, 2.0),\n",
       "              (507, 3.0),\n",
       "              (7535, 4.0),\n",
       "              (12437, 5.0),\n",
       "              (13051, 4.0),\n",
       "              (19257, 4.0),\n",
       "              (12654, 4.0),\n",
       "              (2671, 2.0),\n",
       "              (2509, 3.0),\n",
       "              (9710, 4.0),\n",
       "              (9737, 5.0),\n",
       "              (4199, 3.0),\n",
       "              (1399, 5.0),\n",
       "              (13490, 4.0),\n",
       "              (15833, 4.0),\n",
       "              (17508, 4.0),\n",
       "              (15214, 5.0),\n",
       "              (15105, 4.0),\n",
       "              (6373, 5.0),\n",
       "              (19842, 2.0),\n",
       "              (19459, 5.0),\n",
       "              (3677, 5.0),\n",
       "              (5374, 4.0),\n",
       "              (3540, 4.0),\n",
       "              (20132, 4.0)],\n",
       "             365: [(20989, 5.0),\n",
       "              (4160, 5.0),\n",
       "              (13622, 5.0),\n",
       "              (16005, 5.0),\n",
       "              (1526, 5.0),\n",
       "              (8730, 5.0),\n",
       "              (10285, 5.0)],\n",
       "             366: [(7384, 5.0),\n",
       "              (6771, 5.0),\n",
       "              (19395, 5.0),\n",
       "              (2819, 5.0),\n",
       "              (5728, 5.0)],\n",
       "             367: [(20994, 5.0), (19272, 5.0), (2239, 4.0), (909, 5.0)],\n",
       "             368: [(20088, 5.0),\n",
       "              (3693, 5.0),\n",
       "              (7581, 5.0),\n",
       "              (13316, 5.0),\n",
       "              (21067, 5.0),\n",
       "              (1757, 5.0)],\n",
       "             369: [(12460, 4.0),\n",
       "              (10825, 4.0),\n",
       "              (10065, 4.0),\n",
       "              (19661, 5.0),\n",
       "              (20553, 5.0)],\n",
       "             370: [(13718, 5.0),\n",
       "              (10837, 5.0),\n",
       "              (11360, 5.0),\n",
       "              (21024, 5.0),\n",
       "              (10275, 3.0)],\n",
       "             371: [(8857, 4.0),\n",
       "              (20078, 4.0),\n",
       "              (8510, 5.0),\n",
       "              (16205, 4.0),\n",
       "              (13090, 5.0)],\n",
       "             372: [(2303, 5.0),\n",
       "              (19968, 5.0),\n",
       "              (17013, 5.0),\n",
       "              (1968, 5.0),\n",
       "              (10355, 5.0),\n",
       "              (2244, 3.0)],\n",
       "             373: [(6515, 5.0),\n",
       "              (20301, 5.0),\n",
       "              (6635, 4.0),\n",
       "              (5706, 5.0),\n",
       "              (7666, 5.0)],\n",
       "             374: [(6010, 3.0),\n",
       "              (19989, 5.0),\n",
       "              (15669, 4.0),\n",
       "              (20857, 5.0),\n",
       "              (1271, 3.0),\n",
       "              (3455, 5.0),\n",
       "              (17488, 5.0)],\n",
       "             375: [(11003, 3.0),\n",
       "              (7162, 4.0),\n",
       "              (3992, 5.0),\n",
       "              (8095, 4.0),\n",
       "              (13480, 3.0),\n",
       "              (248, 4.0),\n",
       "              (4444, 4.0),\n",
       "              (14929, 5.0),\n",
       "              (19421, 3.0),\n",
       "              (3462, 4.0),\n",
       "              (522, 5.0),\n",
       "              (14340, 5.0),\n",
       "              (15682, 5.0)],\n",
       "             376: [(3517, 3.0),\n",
       "              (5798, 5.0),\n",
       "              (9144, 5.0),\n",
       "              (7701, 4.0),\n",
       "              (1821, 3.0),\n",
       "              (20475, 4.0),\n",
       "              (8793, 5.0),\n",
       "              (16087, 4.0),\n",
       "              (13422, 4.0),\n",
       "              (1435, 5.0)],\n",
       "             377: [(1177, 5.0),\n",
       "              (5032, 4.0),\n",
       "              (1183, 4.0),\n",
       "              (2860, 4.0),\n",
       "              (16553, 4.0),\n",
       "              (12595, 4.0),\n",
       "              (3749, 4.0),\n",
       "              (3972, 4.0),\n",
       "              (19762, 3.0),\n",
       "              (11366, 4.0),\n",
       "              (10511, 2.0),\n",
       "              (2894, 4.0),\n",
       "              (8095, 4.0),\n",
       "              (17812, 5.0),\n",
       "              (8351, 5.0),\n",
       "              (6780, 2.0),\n",
       "              (20392, 3.0),\n",
       "              (20315, 4.0),\n",
       "              (15266, 4.0),\n",
       "              (9926, 4.0),\n",
       "              (3225, 3.0),\n",
       "              (10967, 3.0),\n",
       "              (5207, 3.0),\n",
       "              (3675, 3.0),\n",
       "              (16483, 4.0),\n",
       "              (10760, 2.0),\n",
       "              (9675, 3.0),\n",
       "              (3655, 4.0),\n",
       "              (10700, 4.0),\n",
       "              (2620, 5.0),\n",
       "              (16618, 3.0)],\n",
       "             378: [(19343, 4.0),\n",
       "              (10899, 5.0),\n",
       "              (4213, 2.0),\n",
       "              (19078, 3.0),\n",
       "              (11270, 4.0)],\n",
       "             379: [(14463, 5.0),\n",
       "              (3961, 5.0),\n",
       "              (15580, 5.0),\n",
       "              (1918, 4.0),\n",
       "              (8736, 4.0),\n",
       "              (891, 5.0),\n",
       "              (11294, 4.0),\n",
       "              (10673, 5.0),\n",
       "              (10252, 5.0),\n",
       "              (6161, 4.0),\n",
       "              (5678, 5.0)],\n",
       "             380: [(13083, 3.0), (12772, 3.0), (2950, 4.0), (8600, 4.0)],\n",
       "             381: [(6230, 5.0),\n",
       "              (9419, 5.0),\n",
       "              (3889, 5.0),\n",
       "              (13702, 5.0),\n",
       "              (5947, 5.0)],\n",
       "             382: [(2154, 5.0), (11644, 3.0), (8179, 5.0)],\n",
       "             383: [(1145, 1.0),\n",
       "              (19152, 5.0),\n",
       "              (1809, 5.0),\n",
       "              (3594, 5.0),\n",
       "              (7101, 5.0)],\n",
       "             384: [(15915, 5.0), (11459, 4.0), (15064, 5.0), (7799, 4.0)],\n",
       "             385: [(5446, 5.0), (2840, 4.0), (1490, 5.0)],\n",
       "             386: [(18189, 5.0),\n",
       "              (16206, 5.0),\n",
       "              (15720, 5.0),\n",
       "              (13220, 5.0),\n",
       "              (11532, 5.0),\n",
       "              (10848, 5.0)],\n",
       "             387: [(19216, 5.0),\n",
       "              (15555, 5.0),\n",
       "              (20748, 5.0),\n",
       "              (5313, 5.0),\n",
       "              (387, 5.0)],\n",
       "             388: [(16003, 5.0),\n",
       "              (17441, 4.0),\n",
       "              (6098, 5.0),\n",
       "              (17720, 5.0),\n",
       "              (16203, 4.0)],\n",
       "             389: [(12003, 5.0),\n",
       "              (5591, 5.0),\n",
       "              (18686, 5.0),\n",
       "              (1695, 5.0),\n",
       "              (5619, 5.0),\n",
       "              (15245, 5.0),\n",
       "              (17304, 5.0)],\n",
       "             390: [(16326, 5.0), (14700, 4.0), (13634, 3.0)],\n",
       "             391: [(350, 5.0),\n",
       "              (8477, 3.0),\n",
       "              (8761, 5.0),\n",
       "              (8155, 4.0),\n",
       "              (892, 5.0)],\n",
       "             392: [(1323, 5.0),\n",
       "              (1543, 5.0),\n",
       "              (8259, 5.0),\n",
       "              (13840, 5.0),\n",
       "              (20764, 5.0),\n",
       "              (14957, 5.0),\n",
       "              (219, 5.0),\n",
       "              (18281, 5.0),\n",
       "              (13483, 5.0),\n",
       "              (11139, 5.0),\n",
       "              (15742, 5.0),\n",
       "              (4843, 5.0),\n",
       "              (1928, 5.0),\n",
       "              (10390, 5.0)],\n",
       "             393: [(3612, 5.0),\n",
       "              (5598, 5.0),\n",
       "              (18627, 5.0),\n",
       "              (998, 5.0),\n",
       "              (19433, 5.0),\n",
       "              (20913, 5.0),\n",
       "              (5343, 5.0),\n",
       "              (18481, 5.0),\n",
       "              (18846, 5.0),\n",
       "              (9510, 5.0),\n",
       "              (2137, 5.0),\n",
       "              (4583, 5.0)],\n",
       "             394: [(13023, 5.0),\n",
       "              (13964, 2.0),\n",
       "              (15327, 5.0),\n",
       "              (9123, 4.0),\n",
       "              (7278, 5.0),\n",
       "              (5979, 3.0),\n",
       "              (14537, 5.0),\n",
       "              (7633, 5.0)],\n",
       "             395: [(1239, 5.0),\n",
       "              (4113, 5.0),\n",
       "              (16350, 5.0),\n",
       "              (16757, 4.0),\n",
       "              (15490, 5.0),\n",
       "              (12144, 3.0),\n",
       "              (8858, 5.0),\n",
       "              (10288, 3.0),\n",
       "              (13480, 4.0),\n",
       "              (16086, 4.0),\n",
       "              (1111, 3.0),\n",
       "              (105, 4.0),\n",
       "              (8421, 4.0),\n",
       "              (18356, 5.0),\n",
       "              (874, 3.0),\n",
       "              (674, 3.0),\n",
       "              (3580, 4.0),\n",
       "              (18082, 5.0),\n",
       "              (13027, 5.0),\n",
       "              (8605, 5.0),\n",
       "              (17437, 5.0),\n",
       "              (7468, 4.0)],\n",
       "             396: [(10453, 4.0),\n",
       "              (5258, 5.0),\n",
       "              (8890, 5.0),\n",
       "              (11562, 5.0),\n",
       "              (12919, 5.0)],\n",
       "             397: [(11563, 5.0),\n",
       "              (6168, 5.0),\n",
       "              (8647, 5.0),\n",
       "              (10365, 5.0),\n",
       "              (9452, 5.0)],\n",
       "             398: [(2083, 4.0), (12497, 3.0), (2623, 5.0), (7638, 4.0)],\n",
       "             399: [(20577, 5.0),\n",
       "              (12120, 5.0),\n",
       "              (11935, 4.0),\n",
       "              (17923, 2.0),\n",
       "              (5788, 5.0),\n",
       "              (4915, 5.0),\n",
       "              (11492, 5.0)],\n",
       "             400: [(8093, 5.0), (6559, 5.0), (7819, 4.0), (2166, 4.0)],\n",
       "             401: [(8709, 5.0),\n",
       "              (11778, 5.0),\n",
       "              (6376, 4.0),\n",
       "              (16623, 5.0),\n",
       "              (15186, 5.0),\n",
       "              (1145, 5.0),\n",
       "              (16663, 5.0),\n",
       "              (4834, 4.0),\n",
       "              (8314, 5.0)],\n",
       "             402: [(209, 5.0),\n",
       "              (5350, 5.0),\n",
       "              (12769, 5.0),\n",
       "              (6905, 5.0),\n",
       "              (16442, 5.0),\n",
       "              (9817, 4.0)],\n",
       "             403: [(8223, 5.0),\n",
       "              (12010, 5.0),\n",
       "              (6223, 5.0),\n",
       "              (15798, 5.0),\n",
       "              (4762, 3.0),\n",
       "              (79, 5.0),\n",
       "              (18905, 5.0),\n",
       "              (19982, 3.0),\n",
       "              (13315, 2.0),\n",
       "              (9834, 4.0),\n",
       "              (4274, 5.0),\n",
       "              (18672, 5.0),\n",
       "              (450, 4.0),\n",
       "              (12232, 3.0)],\n",
       "             404: [(12394, 4.0),\n",
       "              (12166, 4.0),\n",
       "              (355, 5.0),\n",
       "              (3443, 5.0),\n",
       "              (18493, 5.0),\n",
       "              (16397, 5.0),\n",
       "              (9447, 5.0),\n",
       "              (19707, 5.0),\n",
       "              (20955, 2.0),\n",
       "              (2127, 5.0),\n",
       "              (8873, 5.0),\n",
       "              (13397, 5.0),\n",
       "              (1202, 5.0),\n",
       "              (1385, 5.0)],\n",
       "             405: [(13439, 2.0),\n",
       "              (19205, 4.0),\n",
       "              (5067, 3.0),\n",
       "              (3129, 4.0),\n",
       "              (14167, 4.0)],\n",
       "             406: [(16128, 5.0), (15143, 3.0), (10321, 5.0), (13916, 5.0)],\n",
       "             407: [(10383, 4.0),\n",
       "              (7162, 5.0),\n",
       "              (617, 5.0),\n",
       "              (15152, 4.0),\n",
       "              (4090, 4.0),\n",
       "              (15827, 2.0),\n",
       "              (15587, 5.0),\n",
       "              (19123, 4.0),\n",
       "              (14811, 5.0),\n",
       "              (7174, 5.0),\n",
       "              (3011, 4.0),\n",
       "              (19760, 3.0)],\n",
       "             408: [(9062, 5.0), (20619, 5.0), (2478, 5.0)],\n",
       "             409: [(3826, 3.0),\n",
       "              (12547, 3.0),\n",
       "              (20102, 5.0),\n",
       "              (13239, 4.0),\n",
       "              (617, 4.0),\n",
       "              (11934, 5.0)],\n",
       "             410: [(10438, 4.0),\n",
       "              (10124, 4.0),\n",
       "              (15114, 5.0),\n",
       "              (14957, 5.0),\n",
       "              (14478, 5.0),\n",
       "              (13401, 5.0)],\n",
       "             411: [(12307, 5.0), (7060, 4.0), (18207, 4.0), (2500, 5.0)],\n",
       "             412: [(19661, 2.0),\n",
       "              (296, 4.0),\n",
       "              (795, 4.0),\n",
       "              (16155, 3.0),\n",
       "              (2118, 3.0),\n",
       "              (21151, 4.0),\n",
       "              (14518, 4.0),\n",
       "              (14221, 2.0),\n",
       "              (8060, 3.0),\n",
       "              (17023, 4.0),\n",
       "              (4071, 4.0),\n",
       "              (18833, 3.0),\n",
       "              (11014, 3.0),\n",
       "              (16366, 3.0),\n",
       "              (2193, 4.0),\n",
       "              (2692, 4.0),\n",
       "              (15657, 4.0),\n",
       "              (20073, 3.0),\n",
       "              (20723, 3.0),\n",
       "              (20988, 4.0)],\n",
       "             413: [(2716, 5.0), (8082, 4.0), (12927, 4.0)],\n",
       "             414: [(12470, 4.0), (1400, 4.0), (747, 4.0)],\n",
       "             415: [(4138, 5.0),\n",
       "              (6330, 4.0),\n",
       "              (15857, 5.0),\n",
       "              (5977, 5.0),\n",
       "              (2006, 5.0)],\n",
       "             416: [(20327, 4.0),\n",
       "              (7958, 4.0),\n",
       "              (18161, 5.0),\n",
       "              (16029, 5.0),\n",
       "              (5276, 4.0),\n",
       "              (14599, 4.0),\n",
       "              (15270, 5.0),\n",
       "              (20452, 4.0),\n",
       "              (12439, 5.0),\n",
       "              (16153, 5.0),\n",
       "              (12947, 4.0),\n",
       "              (13048, 3.0),\n",
       "              (4794, 3.0),\n",
       "              (960, 3.0),\n",
       "              (10948, 4.0),\n",
       "              (14843, 3.0),\n",
       "              (14808, 4.0),\n",
       "              (6194, 4.0),\n",
       "              (2581, 4.0)],\n",
       "             417: [(17354, 2.0), (12795, 3.0), (12495, 5.0), (6776, 3.0)],\n",
       "             418: [(2040, 5.0),\n",
       "              (11364, 5.0),\n",
       "              (13421, 5.0),\n",
       "              (3963, 5.0),\n",
       "              (5895, 5.0),\n",
       "              (18553, 5.0)],\n",
       "             419: [(9116, 5.0),\n",
       "              (6100, 5.0),\n",
       "              (3740, 5.0),\n",
       "              (11140, 5.0),\n",
       "              (17819, 5.0),\n",
       "              (17988, 5.0),\n",
       "              (20151, 5.0),\n",
       "              (19827, 5.0),\n",
       "              (11819, 5.0),\n",
       "              (19572, 5.0),\n",
       "              (14889, 5.0),\n",
       "              (17025, 5.0),\n",
       "              (18052, 5.0),\n",
       "              (9785, 5.0),\n",
       "              (8581, 5.0),\n",
       "              (5225, 5.0),\n",
       "              (6603, 5.0),\n",
       "              (2636, 5.0),\n",
       "              (7698, 5.0),\n",
       "              (4085, 5.0),\n",
       "              (2220, 5.0),\n",
       "              (17983, 5.0),\n",
       "              (3860, 5.0),\n",
       "              (13618, 5.0)],\n",
       "             420: [(15513, 4.0),\n",
       "              (8889, 4.0),\n",
       "              (19598, 4.0),\n",
       "              (7881, 4.0),\n",
       "              (12736, 3.0),\n",
       "              (10155, 4.0),\n",
       "              (4937, 3.0),\n",
       "              (15691, 5.0),\n",
       "              (4565, 4.0),\n",
       "              (17331, 5.0),\n",
       "              (14143, 3.0),\n",
       "              (13488, 3.0),\n",
       "              (2367, 4.0),\n",
       "              (15339, 3.0),\n",
       "              (7309, 4.0),\n",
       "              (20089, 4.0),\n",
       "              (7985, 3.0),\n",
       "              (1714, 4.0),\n",
       "              (9194, 4.0),\n",
       "              (14411, 4.0),\n",
       "              (9097, 2.0),\n",
       "              (16833, 3.0),\n",
       "              (19976, 4.0),\n",
       "              (9232, 5.0),\n",
       "              (3736, 3.0),\n",
       "              (14027, 3.0),\n",
       "              (8738, 5.0),\n",
       "              (1668, 4.0),\n",
       "              (17378, 4.0),\n",
       "              (478, 4.0),\n",
       "              (14328, 4.0),\n",
       "              (8154, 4.0),\n",
       "              (11201, 3.0),\n",
       "              (20168, 3.0),\n",
       "              (20717, 5.0),\n",
       "              (14961, 4.0),\n",
       "              (709, 4.0),\n",
       "              (19855, 4.0),\n",
       "              (7137, 3.0),\n",
       "              (21237, 5.0),\n",
       "              (3733, 3.0),\n",
       "              (2254, 4.0),\n",
       "              (4414, 3.0),\n",
       "              (6137, 3.0),\n",
       "              (9970, 5.0),\n",
       "              (12476, 4.0),\n",
       "              (4096, 5.0),\n",
       "              (14622, 4.0),\n",
       "              (17582, 4.0),\n",
       "              (17622, 3.0),\n",
       "              (7047, 4.0),\n",
       "              (6502, 3.0),\n",
       "              (10159, 4.0),\n",
       "              (10917, 4.0),\n",
       "              (12058, 5.0),\n",
       "              (11052, 4.0),\n",
       "              (4218, 4.0),\n",
       "              (15569, 4.0),\n",
       "              (16872, 2.0),\n",
       "              (16005, 5.0),\n",
       "              (13093, 5.0),\n",
       "              (14871, 4.0),\n",
       "              (1514, 3.0),\n",
       "              (8648, 4.0),\n",
       "              (20283, 4.0),\n",
       "              (15813, 4.0),\n",
       "              (11078, 5.0),\n",
       "              (4451, 4.0),\n",
       "              (13674, 5.0),\n",
       "              (16686, 4.0),\n",
       "              (1934, 4.0),\n",
       "              (4402, 3.0),\n",
       "              (6365, 5.0),\n",
       "              (19893, 4.0),\n",
       "              (8275, 5.0),\n",
       "              (13569, 5.0),\n",
       "              (1561, 4.0),\n",
       "              (14905, 4.0),\n",
       "              (4457, 3.0),\n",
       "              (13357, 3.0),\n",
       "              (1132, 5.0),\n",
       "              (16383, 3.0),\n",
       "              (4007, 5.0),\n",
       "              (2024, 2.0),\n",
       "              (20863, 3.0),\n",
       "              (20351, 4.0),\n",
       "              (16207, 4.0),\n",
       "              (12676, 4.0),\n",
       "              (20075, 4.0),\n",
       "              (19656, 5.0),\n",
       "              (6004, 4.0),\n",
       "              (10843, 4.0),\n",
       "              (4239, 3.0),\n",
       "              (7231, 4.0),\n",
       "              (4334, 4.0),\n",
       "              (2283, 5.0),\n",
       "              (14819, 3.0),\n",
       "              (21244, 4.0),\n",
       "              (2359, 5.0),\n",
       "              (18171, 4.0),\n",
       "              (18819, 3.0),\n",
       "              (21256, 3.0),\n",
       "              (16687, 4.0),\n",
       "              (13118, 4.0),\n",
       "              (6090, 5.0),\n",
       "              (10449, 4.0),\n",
       "              (3897, 5.0),\n",
       "              (15030, 5.0),\n",
       "              (19089, 3.0),\n",
       "              (15783, 3.0),\n",
       "              (1159, 2.0),\n",
       "              (2343, 4.0),\n",
       "              (6843, 3.0),\n",
       "              (8365, 4.0),\n",
       "              (14924, 4.0),\n",
       "              (10918, 4.0),\n",
       "              (12633, 3.0),\n",
       "              (1547, 5.0),\n",
       "              (286, 4.0),\n",
       "              (21241, 4.0),\n",
       "              (6255, 4.0),\n",
       "              (18410, 2.0),\n",
       "              (11724, 4.0),\n",
       "              (7467, 5.0),\n",
       "              (9767, 5.0),\n",
       "              (16089, 5.0),\n",
       "              (1375, 4.0),\n",
       "              (924, 5.0),\n",
       "              (8267, 4.0),\n",
       "              (19997, 5.0),\n",
       "              (13355, 2.0),\n",
       "              (10198, 5.0),\n",
       "              (19417, 4.0),\n",
       "              (7337, 4.0),\n",
       "              (10138, 4.0),\n",
       "              (3185, 5.0),\n",
       "              (5400, 3.0),\n",
       "              (9255, 5.0),\n",
       "              (3702, 5.0),\n",
       "              (13134, 3.0),\n",
       "              (6862, 4.0),\n",
       "              (10826, 5.0),\n",
       "              (7034, 4.0),\n",
       "              (9101, 3.0),\n",
       "              (2703, 4.0),\n",
       "              (7257, 4.0),\n",
       "              (13537, 4.0),\n",
       "              (18759, 4.0),\n",
       "              (18893, 4.0),\n",
       "              (4158, 4.0),\n",
       "              (10352, 4.0),\n",
       "              (12657, 4.0),\n",
       "              (20359, 5.0)],\n",
       "             421: [(6458, 5.0),\n",
       "              (307, 5.0),\n",
       "              (14453, 4.0),\n",
       "              (12904, 5.0),\n",
       "              (2523, 5.0),\n",
       "              (761, 5.0),\n",
       "              (17630, 4.0)],\n",
       "             422: [(3758, 5.0),\n",
       "              (10901, 5.0),\n",
       "              (1895, 4.0),\n",
       "              (6853, 5.0),\n",
       "              (17965, 5.0),\n",
       "              (15099, 4.0)],\n",
       "             423: [(16578, 5.0),\n",
       "              (9530, 5.0),\n",
       "              (12244, 5.0),\n",
       "              (9667, 5.0),\n",
       "              (2782, 4.0),\n",
       "              (6280, 5.0),\n",
       "              (13976, 4.0),\n",
       "              (16154, 4.0),\n",
       "              (3861, 5.0),\n",
       "              (383, 5.0),\n",
       "              (362, 3.0),\n",
       "              (6641, 3.0),\n",
       "              (7888, 5.0),\n",
       "              (3766, 4.0),\n",
       "              (7579, 5.0),\n",
       "              (15143, 3.0),\n",
       "              (17732, 4.0)],\n",
       "             424: [(6853, 3.0),\n",
       "              (17319, 3.0),\n",
       "              (10275, 5.0),\n",
       "              (1928, 4.0),\n",
       "              (17117, 4.0),\n",
       "              (1217, 5.0)],\n",
       "             425: [(10946, 1.0),\n",
       "              (17029, 3.0),\n",
       "              (7526, 5.0),\n",
       "              (6108, 5.0),\n",
       "              (12069, 4.0),\n",
       "              (1733, 4.0)],\n",
       "             426: [(14500, 5.0), (17829, 3.0), (8229, 4.0), (16794, 4.0)],\n",
       "             427: [(15329, 4.0), (14738, 5.0), (18773, 3.0), (2107, 5.0)],\n",
       "             428: [(2521, 4.0),\n",
       "              (19224, 5.0),\n",
       "              (5520, 4.0),\n",
       "              (11698, 5.0),\n",
       "              (5980, 3.0),\n",
       "              (6873, 2.0),\n",
       "              (1952, 5.0)],\n",
       "             429: [(4498, 5.0),\n",
       "              (1006, 3.0),\n",
       "              (6625, 3.0),\n",
       "              (7419, 5.0),\n",
       "              (7500, 4.0),\n",
       "              (20790, 4.0),\n",
       "              (14615, 4.0)],\n",
       "             430: [(7490, 5.0),\n",
       "              (18829, 4.0),\n",
       "              (17115, 4.0),\n",
       "              (13899, 4.0),\n",
       "              (20414, 5.0),\n",
       "              (21172, 4.0),\n",
       "              (16059, 4.0),\n",
       "              (15872, 5.0),\n",
       "              (5256, 5.0),\n",
       "              (8028, 3.0),\n",
       "              (731, 2.0),\n",
       "              (17215, 4.0),\n",
       "              (18756, 5.0),\n",
       "              (4365, 3.0),\n",
       "              (9937, 3.0),\n",
       "              (2850, 4.0),\n",
       "              (16087, 4.0),\n",
       "              (9470, 5.0),\n",
       "              (6595, 4.0),\n",
       "              (20587, 4.0),\n",
       "              (20170, 4.0),\n",
       "              (6559, 4.0),\n",
       "              (11877, 4.0),\n",
       "              (948, 4.0),\n",
       "              (17537, 4.0),\n",
       "              (5566, 5.0),\n",
       "              (5784, 2.0),\n",
       "              (15505, 3.0),\n",
       "              (17754, 5.0),\n",
       "              (10956, 3.0),\n",
       "              (2195, 4.0),\n",
       "              (11669, 5.0),\n",
       "              (8551, 4.0),\n",
       "              (4764, 4.0),\n",
       "              (19901, 4.0),\n",
       "              (16524, 5.0),\n",
       "              (1992, 5.0),\n",
       "              (7676, 5.0),\n",
       "              (12797, 4.0),\n",
       "              (15809, 4.0),\n",
       "              (19200, 4.0),\n",
       "              (15841, 5.0),\n",
       "              (11685, 4.0),\n",
       "              (13336, 4.0),\n",
       "              (3517, 2.0)],\n",
       "             431: [(20363, 5.0),\n",
       "              (12121, 5.0),\n",
       "              (3020, 5.0),\n",
       "              (11226, 5.0),\n",
       "              (1926, 4.0),\n",
       "              (6899, 4.0),\n",
       "              (9877, 3.0),\n",
       "              (17203, 5.0),\n",
       "              (6641, 3.0),\n",
       "              (8870, 4.0),\n",
       "              (11941, 4.0),\n",
       "              (10899, 5.0),\n",
       "              (16536, 5.0)],\n",
       "             432: [(3650, 4.0),\n",
       "              (15171, 5.0),\n",
       "              (11585, 5.0),\n",
       "              (20842, 4.0),\n",
       "              (13607, 4.0),\n",
       "              (12904, 4.0)],\n",
       "             433: [(19180, 4.0),\n",
       "              (16849, 4.0),\n",
       "              (4582, 4.0),\n",
       "              (8682, 3.0),\n",
       "              (12278, 4.0),\n",
       "              (874, 4.0)],\n",
       "             434: [(7555, 3.0),\n",
       "              (12813, 4.0),\n",
       "              (7529, 5.0),\n",
       "              (137, 5.0),\n",
       "              (20747, 4.0),\n",
       "              (8248, 4.0)],\n",
       "             435: [(5071, 4.0),\n",
       "              (8026, 2.0),\n",
       "              (10593, 4.0),\n",
       "              (11420, 4.0),\n",
       "              (9903, 5.0)],\n",
       "             436: [(17471, 5.0), (11227, 5.0), (7060, 5.0), (20135, 5.0)],\n",
       "             437: [(20999, 5.0), (16001, 3.0), (3517, 4.0), (5129, 4.0)],\n",
       "             438: [(20624, 5.0),\n",
       "              (14078, 5.0),\n",
       "              (10230, 5.0),\n",
       "              (12986, 4.0),\n",
       "              (5322, 5.0),\n",
       "              (14571, 5.0),\n",
       "              (7211, 5.0),\n",
       "              (4435, 5.0),\n",
       "              (5654, 5.0),\n",
       "              (21261, 5.0),\n",
       "              (17313, 5.0),\n",
       "              (8789, 5.0),\n",
       "              (15180, 5.0),\n",
       "              (15216, 4.0),\n",
       "              (20309, 5.0),\n",
       "              (6470, 5.0),\n",
       "              (12890, 5.0),\n",
       "              (7184, 5.0),\n",
       "              (15391, 5.0)],\n",
       "             439: [(19295, 4.0),\n",
       "              (8518, 4.0),\n",
       "              (17880, 5.0),\n",
       "              (9635, 5.0),\n",
       "              (17909, 5.0)],\n",
       "             440: [(17846, 4.0),\n",
       "              (12400, 5.0),\n",
       "              (19202, 4.0),\n",
       "              (19164, 5.0),\n",
       "              (1608, 4.0),\n",
       "              (19430, 4.0),\n",
       "              (15123, 4.0)],\n",
       "             441: [(749, 4.0),\n",
       "              (10149, 1.0),\n",
       "              (13184, 5.0),\n",
       "              (20866, 5.0),\n",
       "              (12138, 5.0),\n",
       "              (15842, 5.0),\n",
       "              (8408, 5.0),\n",
       "              (4090, 2.0),\n",
       "              (16666, 5.0),\n",
       "              (1507, 5.0),\n",
       "              (9061, 5.0)],\n",
       "             442: [(5977, 5.0),\n",
       "              (12483, 5.0),\n",
       "              (8075, 4.0),\n",
       "              (6330, 5.0),\n",
       "              (14295, 5.0),\n",
       "              (13773, 5.0),\n",
       "              (17976, 5.0),\n",
       "              (5123, 5.0)],\n",
       "             443: [(10249, 4.0),\n",
       "              (12383, 5.0),\n",
       "              (4159, 4.0),\n",
       "              (20327, 4.0),\n",
       "              (20717, 4.0),\n",
       "              (18017, 4.0),\n",
       "              (17153, 5.0),\n",
       "              (9970, 5.0)],\n",
       "             444: [(19900, 5.0),\n",
       "              (8185, 4.0),\n",
       "              (7060, 5.0),\n",
       "              (9745, 4.0),\n",
       "              (7837, 4.0)],\n",
       "             445: [(9818, 5.0), (13798, 5.0), (3928, 5.0), (19322, 5.0)],\n",
       "             446: [(18166, 5.0), (20653, 5.0), (10966, 5.0), (2417, 4.0)],\n",
       "             447: [(4840, 5.0),\n",
       "              (10335, 5.0),\n",
       "              (10048, 5.0),\n",
       "              (15404, 5.0),\n",
       "              (978, 1.0),\n",
       "              (17070, 5.0),\n",
       "              (729, 5.0),\n",
       "              (19076, 5.0),\n",
       "              (14358, 5.0),\n",
       "              (15043, 4.0)],\n",
       "             448: [(14831, 4.0),\n",
       "              (18600, 4.0),\n",
       "              (8567, 3.0),\n",
       "              (2849, 5.0),\n",
       "              (3554, 1.0),\n",
       "              (17214, 5.0),\n",
       "              (20519, 5.0),\n",
       "              (12462, 3.0)],\n",
       "             449: [(491, 5.0),\n",
       "              (219, 3.0),\n",
       "              (18686, 4.0),\n",
       "              (4649, 5.0),\n",
       "              (14468, 4.0),\n",
       "              (17664, 5.0),\n",
       "              (5664, 5.0),\n",
       "              (13370, 4.0),\n",
       "              (12139, 4.0),\n",
       "              (670, 5.0),\n",
       "              (7019, 4.0),\n",
       "              (6376, 2.0),\n",
       "              (4856, 4.0),\n",
       "              (17736, 4.0),\n",
       "              (1425, 5.0),\n",
       "              (391, 5.0),\n",
       "              (9640, 5.0),\n",
       "              (12990, 4.0),\n",
       "              (18012, 3.0),\n",
       "              (1608, 5.0),\n",
       "              (18431, 4.0),\n",
       "              (2150, 5.0),\n",
       "              (4945, 4.0),\n",
       "              (4590, 3.0),\n",
       "              (1384, 5.0),\n",
       "              (6506, 5.0),\n",
       "              (3958, 5.0),\n",
       "              (17117, 4.0),\n",
       "              (21142, 4.0),\n",
       "              (16199, 4.0),\n",
       "              (2622, 5.0),\n",
       "              (14305, 5.0)],\n",
       "             450: [(7794, 5.0), (15562, 4.0), (17091, 3.0), (18551, 5.0)],\n",
       "             451: [(10064, 4.0),\n",
       "              (3224, 3.0),\n",
       "              (18728, 5.0),\n",
       "              (12491, 4.0),\n",
       "              (12704, 4.0)],\n",
       "             452: [(6928, 3.0),\n",
       "              (13357, 5.0),\n",
       "              (4712, 5.0),\n",
       "              (16306, 3.0),\n",
       "              (11340, 3.0),\n",
       "              (8243, 5.0),\n",
       "              (4395, 5.0),\n",
       "              (653, 4.0),\n",
       "              (8130, 3.0),\n",
       "              (18575, 4.0),\n",
       "              (6087, 4.0),\n",
       "              (4340, 3.0),\n",
       "              (20384, 4.0),\n",
       "              (9112, 4.0),\n",
       "              (6619, 2.0),\n",
       "              (13048, 4.0),\n",
       "              (8610, 3.0),\n",
       "              (4328, 4.0),\n",
       "              (13409, 4.0),\n",
       "              (16681, 4.0),\n",
       "              (11015, 5.0),\n",
       "              (546, 4.0),\n",
       "              (1380, 4.0),\n",
       "              (395, 3.0),\n",
       "              (14681, 3.0),\n",
       "              (17554, 4.0),\n",
       "              (15031, 5.0),\n",
       "              (12469, 4.0),\n",
       "              (14157, 4.0),\n",
       "              (16019, 4.0),\n",
       "              (14651, 4.0),\n",
       "              (21033, 4.0),\n",
       "              (15294, 3.0),\n",
       "              (11137, 4.0),\n",
       "              (2441, 4.0),\n",
       "              (16616, 4.0),\n",
       "              (3948, 4.0),\n",
       "              (6562, 5.0),\n",
       "              (11936, 5.0),\n",
       "              (16686, 4.0),\n",
       "              (6077, 3.0),\n",
       "              (8016, 4.0),\n",
       "              (2446, 4.0),\n",
       "              (10204, 3.0),\n",
       "              (7431, 3.0),\n",
       "              (12147, 4.0),\n",
       "              (5476, 5.0),\n",
       "              (3216, 4.0),\n",
       "              (9746, 4.0),\n",
       "              (8744, 4.0),\n",
       "              (13457, 5.0),\n",
       "              (15256, 4.0),\n",
       "              (14942, 4.0),\n",
       "              (12279, 4.0),\n",
       "              (11594, 4.0)],\n",
       "             453: [(7681, 5.0),\n",
       "              (12811, 5.0),\n",
       "              (696, 5.0),\n",
       "              (3599, 5.0),\n",
       "              (1840, 5.0),\n",
       "              (8501, 5.0),\n",
       "              (909, 5.0)],\n",
       "             454: [(5062, 5.0),\n",
       "              (1785, 4.0),\n",
       "              (5952, 5.0),\n",
       "              (21216, 3.0),\n",
       "              (3288, 3.0),\n",
       "              (13906, 3.0)],\n",
       "             455: [(20540, 5.0),\n",
       "              (11985, 5.0),\n",
       "              (19011, 5.0),\n",
       "              (8944, 5.0),\n",
       "              (146, 5.0)],\n",
       "             456: [(1247, 4.0), (14495, 5.0), (4710, 5.0)],\n",
       "             457: [(20173, 2.0),\n",
       "              (10201, 5.0),\n",
       "              (13914, 1.0),\n",
       "              (20804, 4.0),\n",
       "              (20271, 2.0),\n",
       "              (3616, 4.0),\n",
       "              (17369, 5.0),\n",
       "              (464, 5.0),\n",
       "              (12683, 5.0)],\n",
       "             458: [(16007, 4.0),\n",
       "              (11974, 5.0),\n",
       "              (8784, 5.0),\n",
       "              (16157, 5.0),\n",
       "              (3048, 4.0),\n",
       "              (13421, 5.0),\n",
       "              (18553, 5.0)],\n",
       "             459: [(10267, 5.0), (7840, 4.0), (12036, 4.0), (9457, 5.0)],\n",
       "             460: [(7795, 5.0),\n",
       "              (12789, 5.0),\n",
       "              (17743, 5.0),\n",
       "              (9010, 5.0),\n",
       "              (2333, 5.0)],\n",
       "             461: [(6754, 5.0),\n",
       "              (18645, 4.0),\n",
       "              (1516, 4.0),\n",
       "              (15657, 5.0),\n",
       "              (2444, 4.0),\n",
       "              (17898, 4.0),\n",
       "              (3314, 3.0)],\n",
       "             462: [(8063, 4.0),\n",
       "              (15417, 5.0),\n",
       "              (7942, 5.0),\n",
       "              (7443, 5.0),\n",
       "              (8429, 4.0),\n",
       "              (617, 5.0),\n",
       "              (1124, 3.0)],\n",
       "             463: [(7204, 4.0),\n",
       "              (7410, 5.0),\n",
       "              (20180, 5.0),\n",
       "              (5423, 4.0),\n",
       "              (18472, 5.0),\n",
       "              (4916, 5.0),\n",
       "              (6483, 5.0),\n",
       "              (4698, 3.0)],\n",
       "             464: [(18501, 4.0),\n",
       "              (18336, 5.0),\n",
       "              (769, 5.0),\n",
       "              (2751, 5.0),\n",
       "              (4113, 5.0),\n",
       "              (6911, 5.0),\n",
       "              (18905, 4.0),\n",
       "              (20242, 4.0),\n",
       "              (7296, 4.0),\n",
       "              (1183, 5.0),\n",
       "              (17803, 4.0),\n",
       "              (1332, 4.0),\n",
       "              (8362, 5.0),\n",
       "              (13875, 4.0),\n",
       "              (12079, 5.0),\n",
       "              (10251, 5.0),\n",
       "              (20553, 5.0),\n",
       "              (13540, 4.0),\n",
       "              (13004, 4.0),\n",
       "              (4552, 4.0),\n",
       "              (15583, 5.0),\n",
       "              (15432, 5.0),\n",
       "              (4223, 3.0),\n",
       "              (17447, 4.0),\n",
       "              (7306, 4.0),\n",
       "              (15445, 4.0),\n",
       "              (1785, 4.0),\n",
       "              (3651, 4.0),\n",
       "              (9365, 5.0),\n",
       "              (13054, 5.0)],\n",
       "             465: [(692, 3.0),\n",
       "              (16828, 3.0),\n",
       "              (17958, 3.0),\n",
       "              (7046, 4.0),\n",
       "              (50, 3.0),\n",
       "              (4522, 3.0),\n",
       "              (12034, 4.0),\n",
       "              (19383, 3.0),\n",
       "              (10213, 4.0),\n",
       "              (18680, 5.0),\n",
       "              (1647, 4.0),\n",
       "              (10147, 4.0),\n",
       "              (19346, 3.0),\n",
       "              (6070, 3.0),\n",
       "              (20295, 4.0),\n",
       "              (107, 4.0),\n",
       "              (10335, 3.0),\n",
       "              (14785, 5.0),\n",
       "              (8447, 3.0),\n",
       "              (17343, 4.0),\n",
       "              (2111, 4.0),\n",
       "              (8289, 3.0)],\n",
       "             466: [(10917, 5.0), (4275, 4.0), (10521, 3.0), (17490, 5.0)],\n",
       "             467: [(1928, 3.0),\n",
       "              (5997, 5.0),\n",
       "              (12834, 3.0),\n",
       "              (3827, 1.0),\n",
       "              (14173, 5.0),\n",
       "              (5696, 4.0)],\n",
       "             468: [(3304, 4.0),\n",
       "              (11448, 5.0),\n",
       "              (10740, 5.0),\n",
       "              (5768, 4.0),\n",
       "              (16907, 5.0),\n",
       "              (12211, 2.0),\n",
       "              (3512, 3.0)],\n",
       "             469: [(9868, 5.0),\n",
       "              (9862, 5.0),\n",
       "              (9023, 4.0),\n",
       "              (19911, 4.0),\n",
       "              (10102, 4.0),\n",
       "              (1554, 5.0),\n",
       "              (12658, 5.0),\n",
       "              (17869, 5.0),\n",
       "              (6977, 5.0),\n",
       "              (10039, 4.0),\n",
       "              (8460, 5.0)],\n",
       "             470: [(1400, 4.0),\n",
       "              (11345, 5.0),\n",
       "              (9783, 5.0),\n",
       "              (8610, 5.0),\n",
       "              (5109, 4.0),\n",
       "              (13213, 5.0),\n",
       "              (18239, 5.0),\n",
       "              (944, 4.0)],\n",
       "             471: [(14570, 5.0),\n",
       "              (6218, 5.0),\n",
       "              (2069, 5.0),\n",
       "              (8708, 5.0),\n",
       "              (17058, 5.0)],\n",
       "             472: [(1689, 5.0), (9935, 3.0), (19831, 4.0), (15761, 5.0)],\n",
       "             473: [(12598, 3.0), (13139, 3.0), (3005, 3.0), (1042, 4.0)],\n",
       "             474: [(16195, 5.0), (485, 4.0), (15554, 4.0)],\n",
       "             475: [(14429, 5.0), (989, 5.0), (129, 5.0)],\n",
       "             476: [(18905, 5.0), (8169, 5.0), (3481, 5.0), (3165, 4.0)],\n",
       "             477: [(6376, 5.0),\n",
       "              (19253, 4.0),\n",
       "              (5501, 4.0),\n",
       "              (1632, 4.0),\n",
       "              (5955, 4.0),\n",
       "              (2478, 3.0)],\n",
       "             478: [(19959, 4.0), (6731, 5.0), (5767, 3.0)],\n",
       "             479: [(10700, 4.0),\n",
       "              (3314, 4.0),\n",
       "              (15815, 4.0),\n",
       "              (9134, 5.0),\n",
       "              (5516, 5.0),\n",
       "              (14929, 4.0),\n",
       "              (7082, 4.0),\n",
       "              (5095, 4.0),\n",
       "              (8223, 4.0),\n",
       "              (17969, 4.0),\n",
       "              (296, 5.0),\n",
       "              (874, 4.0),\n",
       "              (5364, 3.0),\n",
       "              (11453, 5.0),\n",
       "              (10322, 4.0),\n",
       "              (18066, 4.0),\n",
       "              (15266, 5.0),\n",
       "              (19189, 4.0),\n",
       "              (3527, 3.0),\n",
       "              (17296, 3.0),\n",
       "              (1046, 4.0),\n",
       "              (14017, 3.0),\n",
       "              (7291, 5.0),\n",
       "              (17803, 3.0),\n",
       "              (4917, 5.0),\n",
       "              (10505, 4.0),\n",
       "              (18443, 5.0),\n",
       "              (5003, 3.0),\n",
       "              (5618, 5.0),\n",
       "              (8351, 5.0),\n",
       "              (11898, 5.0),\n",
       "              (20824, 3.0),\n",
       "              (10831, 5.0),\n",
       "              (593, 4.0),\n",
       "              (16166, 4.0),\n",
       "              (20331, 4.0),\n",
       "              (3116, 4.0),\n",
       "              (11451, 4.0),\n",
       "              (5923, 3.0),\n",
       "              (14765, 4.0),\n",
       "              (14526, 3.0)],\n",
       "             480: [(5868, 2.0),\n",
       "              (17858, 4.0),\n",
       "              (18179, 4.0),\n",
       "              (18680, 5.0),\n",
       "              (18810, 2.0)],\n",
       "             481: [(2202, 4.0),\n",
       "              (12368, 3.0),\n",
       "              (11216, 4.0),\n",
       "              (16831, 5.0),\n",
       "              (8306, 5.0),\n",
       "              (16301, 5.0)],\n",
       "             482: [(4975, 5.0), (13402, 5.0), (7520, 5.0), (8125, 5.0)],\n",
       "             483: [(7857, 2.0),\n",
       "              (16721, 4.0),\n",
       "              (13944, 5.0),\n",
       "              (9669, 5.0),\n",
       "              (10462, 5.0),\n",
       "              (13326, 5.0)],\n",
       "             484: [(13317, 5.0),\n",
       "              (9001, 5.0),\n",
       "              (12405, 5.0),\n",
       "              (4652, 3.0),\n",
       "              (6926, 5.0),\n",
       "              (17481, 5.0),\n",
       "              (3654, 5.0),\n",
       "              (5332, 4.0),\n",
       "              (10641, 5.0)],\n",
       "             485: [(18473, 5.0), (8261, 5.0), (5577, 4.0), (19270, 1.0)],\n",
       "             486: [(11951, 3.0), (2076, 4.0), (10902, 4.0), (11943, 5.0)],\n",
       "             487: [(15650, 5.0),\n",
       "              (2044, 5.0),\n",
       "              (12607, 5.0),\n",
       "              (9190, 5.0),\n",
       "              (6890, 5.0),\n",
       "              (1853, 5.0)],\n",
       "             488: [(1402, 5.0), (16810, 5.0), (18581, 5.0), (19861, 5.0)],\n",
       "             489: [(15751, 2.0), (5496, 5.0)],\n",
       "             490: [(3504, 5.0),\n",
       "              (14355, 5.0),\n",
       "              (1847, 5.0),\n",
       "              (11999, 5.0),\n",
       "              (14760, 5.0),\n",
       "              (12204, 5.0),\n",
       "              (9607, 5.0),\n",
       "              (2017, 5.0),\n",
       "              (3568, 5.0),\n",
       "              (4563, 5.0),\n",
       "              (1651, 5.0),\n",
       "              (3585, 5.0),\n",
       "              (3854, 5.0),\n",
       "              (8163, 5.0),\n",
       "              (4616, 5.0),\n",
       "              (3596, 5.0),\n",
       "              (76, 5.0),\n",
       "              (6469, 5.0)],\n",
       "             491: [(18698, 4.0),\n",
       "              (9814, 5.0),\n",
       "              (6937, 4.0),\n",
       "              (6361, 5.0),\n",
       "              (16008, 3.0),\n",
       "              (1683, 5.0),\n",
       "              (6487, 1.0),\n",
       "              (13776, 5.0)],\n",
       "             492: [(11277, 4.0), (7632, 3.0)],\n",
       "             493: [(16003, 4.0),\n",
       "              (19706, 4.0),\n",
       "              (11644, 3.0),\n",
       "              (19523, 5.0),\n",
       "              (9177, 4.0),\n",
       "              (11584, 4.0),\n",
       "              (1656, 5.0),\n",
       "              (2644, 5.0),\n",
       "              (10019, 5.0),\n",
       "              (5288, 5.0)],\n",
       "             494: [(9330, 5.0),\n",
       "              (20845, 5.0),\n",
       "              (6592, 5.0),\n",
       "              (7757, 5.0),\n",
       "              (17720, 5.0),\n",
       "              (428, 4.0)],\n",
       "             495: [(4062, 4.0),\n",
       "              (1762, 5.0),\n",
       "              (17058, 5.0),\n",
       "              (1608, 5.0),\n",
       "              (3217, 4.0),\n",
       "              (19557, 5.0),\n",
       "              (20014, 5.0),\n",
       "              (10115, 5.0)],\n",
       "             496: [(14039, 4.0), (433, 4.0), (13433, 1.0)],\n",
       "             497: [(12136, 5.0),\n",
       "              (6942, 5.0),\n",
       "              (15209, 5.0),\n",
       "              (12793, 5.0),\n",
       "              (5017, 5.0)],\n",
       "             498: [(16883, 4.0),\n",
       "              (19535, 5.0),\n",
       "              (18853, 4.0),\n",
       "              (17464, 5.0),\n",
       "              (15003, 3.0)],\n",
       "             499: [(353, 5.0), (2115, 5.0), (17767, 5.0), (20783, 5.0)],\n",
       "             500: [(9527, 5.0),\n",
       "              (4530, 5.0),\n",
       "              (16978, 5.0),\n",
       "              (19952, 5.0),\n",
       "              (7520, 5.0),\n",
       "              (17934, 5.0)],\n",
       "             501: [(12122, 4.0),\n",
       "              (18778, 4.0),\n",
       "              (4774, 4.0),\n",
       "              (5844, 4.0),\n",
       "              (13656, 3.0),\n",
       "              (1431, 4.0)],\n",
       "             502: [(19656, 4.0), (14225, 5.0), (17534, 3.0)],\n",
       "             503: [(6040, 4.0),\n",
       "              (7185, 5.0),\n",
       "              (5338, 4.0),\n",
       "              (928, 5.0),\n",
       "              (4421, 4.0),\n",
       "              (4543, 4.0),\n",
       "              (5124, 4.0),\n",
       "              (13036, 4.0),\n",
       "              (12499, 5.0),\n",
       "              (15650, 4.0),\n",
       "              (16371, 5.0),\n",
       "              (17736, 5.0),\n",
       "              (1890, 5.0),\n",
       "              (3576, 5.0)],\n",
       "             504: [(8785, 4.0),\n",
       "              (4242, 4.0),\n",
       "              (9265, 4.0),\n",
       "              (12928, 3.0),\n",
       "              (19860, 4.0),\n",
       "              (20910, 4.0),\n",
       "              (17098, 5.0)],\n",
       "             505: [(12867, 3.0),\n",
       "              (17423, 5.0),\n",
       "              (10238, 3.0),\n",
       "              (13765, 5.0),\n",
       "              (6792, 5.0),\n",
       "              (1222, 4.0),\n",
       "              (12158, 5.0),\n",
       "              (15184, 5.0)],\n",
       "             506: [(10437, 5.0), (3284, 4.0), (7254, 5.0)],\n",
       "             507: [(14352, 5.0),\n",
       "              (15654, 5.0),\n",
       "              (640, 5.0),\n",
       "              (1646, 3.0),\n",
       "              (6923, 3.0),\n",
       "              (4333, 4.0),\n",
       "              (15115, 5.0),\n",
       "              (12467, 4.0),\n",
       "              (7989, 4.0)],\n",
       "             508: [(6421, 5.0),\n",
       "              (1951, 4.0),\n",
       "              (16161, 4.0),\n",
       "              (19669, 4.0),\n",
       "              (9258, 5.0),\n",
       "              (15620, 4.0)],\n",
       "             509: [(1834, 5.0),\n",
       "              (3516, 5.0),\n",
       "              (10781, 5.0),\n",
       "              (8961, 5.0),\n",
       "              (19647, 5.0),\n",
       "              (14847, 5.0),\n",
       "              (21224, 5.0)],\n",
       "             510: [(2827, 4.0),\n",
       "              (6936, 4.0),\n",
       "              (11226, 5.0),\n",
       "              (13540, 5.0),\n",
       "              (880, 5.0),\n",
       "              (7039, 5.0),\n",
       "              (346, 5.0),\n",
       "              (11150, 4.0),\n",
       "              (4334, 4.0),\n",
       "              (1738, 4.0),\n",
       "              (19132, 5.0),\n",
       "              (7474, 4.0),\n",
       "              (7779, 4.0),\n",
       "              (18601, 4.0)],\n",
       "             511: [(17148, 5.0),\n",
       "              (1651, 4.0),\n",
       "              (9781, 5.0),\n",
       "              (8880, 5.0),\n",
       "              (6698, 5.0),\n",
       "              (15859, 5.0),\n",
       "              (3721, 5.0),\n",
       "              (15681, 4.0),\n",
       "              (15191, 5.0),\n",
       "              (935, 4.0),\n",
       "              (5303, 5.0),\n",
       "              (20516, 5.0),\n",
       "              (3853, 5.0),\n",
       "              (9346, 5.0)],\n",
       "             512: [(3648, 5.0), (8999, 5.0), (203, 5.0)],\n",
       "             513: [(6853, 5.0),\n",
       "              (15576, 5.0),\n",
       "              (20653, 4.0),\n",
       "              (11304, 5.0),\n",
       "              (6793, 5.0)],\n",
       "             514: [(20734, 3.0),\n",
       "              (17407, 5.0),\n",
       "              (16541, 5.0),\n",
       "              (1317, 4.0),\n",
       "              (5862, 4.0),\n",
       "              (7190, 5.0),\n",
       "              (8938, 4.0),\n",
       "              (10943, 4.0),\n",
       "              (210, 3.0),\n",
       "              (3517, 4.0),\n",
       "              (15764, 4.0),\n",
       "              (13789, 5.0),\n",
       "              (16165, 4.0),\n",
       "              (3976, 3.0),\n",
       "              (20188, 3.0),\n",
       "              (17158, 4.0),\n",
       "              (12053, 4.0),\n",
       "              (4177, 5.0),\n",
       "              (11024, 5.0),\n",
       "              (4485, 3.0),\n",
       "              (2106, 4.0),\n",
       "              (14908, 5.0),\n",
       "              (14904, 5.0),\n",
       "              (13749, 5.0),\n",
       "              (4471, 3.0),\n",
       "              (4080, 2.0),\n",
       "              (17168, 5.0),\n",
       "              (18147, 5.0),\n",
       "              (2447, 4.0),\n",
       "              (2436, 2.0),\n",
       "              (4419, 4.0)],\n",
       "             515: [(6138, 5.0),\n",
       "              (14990, 5.0),\n",
       "              (12204, 5.0),\n",
       "              (6092, 5.0),\n",
       "              (15735, 4.0),\n",
       "              (6571, 5.0),\n",
       "              (14645, 5.0),\n",
       "              (8164, 5.0),\n",
       "              (13628, 5.0),\n",
       "              (6462, 5.0),\n",
       "              (15659, 5.0),\n",
       "              (13866, 5.0),\n",
       "              (17148, 5.0),\n",
       "              (3853, 5.0),\n",
       "              (5585, 4.0),\n",
       "              (18569, 5.0),\n",
       "              (20516, 5.0)],\n",
       "             516: [(593, 3.0),\n",
       "              (13821, 4.0),\n",
       "              (79, 5.0),\n",
       "              (14901, 5.0),\n",
       "              (6936, 4.0)],\n",
       "             517: [(11489, 5.0),\n",
       "              (16346, 5.0),\n",
       "              (11599, 5.0),\n",
       "              (13391, 4.0),\n",
       "              (19761, 5.0),\n",
       "              (15950, 3.0)],\n",
       "             518: [(19087, 4.0), (8013, 3.0), (14236, 4.0), (15655, 4.0)],\n",
       "             519: [(12526, 5.0), (17978, 3.0)],\n",
       "             520: [(5961, 5.0), (16966, 5.0), (14157, 4.0), (13213, 5.0)],\n",
       "             521: [(1091, 4.0),\n",
       "              (18564, 4.0),\n",
       "              (1831, 4.0),\n",
       "              (10917, 3.0),\n",
       "              (2517, 4.0),\n",
       "              (14411, 4.0),\n",
       "              (2441, 4.0)],\n",
       "             522: [(12658, 5.0), (7046, 5.0)],\n",
       "             523: [(11720, 4.0),\n",
       "              (19506, 5.0),\n",
       "              (5634, 4.0),\n",
       "              (19888, 4.0),\n",
       "              (18892, 4.0),\n",
       "              (13569, 4.0)],\n",
       "             524: [(14895, 4.0),\n",
       "              (9287, 4.0),\n",
       "              (6430, 3.0),\n",
       "              (21094, 4.0),\n",
       "              (17053, 5.0),\n",
       "              (2795, 3.0),\n",
       "              (1900, 4.0),\n",
       "              (3324, 3.0),\n",
       "              (7216, 3.0),\n",
       "              (18443, 5.0),\n",
       "              (15546, 3.0),\n",
       "              (8288, 4.0),\n",
       "              (18776, 4.0),\n",
       "              (13540, 4.0),\n",
       "              (8110, 3.0),\n",
       "              (3637, 4.0),\n",
       "              (379, 4.0),\n",
       "              (11369, 4.0),\n",
       "              (20358, 3.0),\n",
       "              (9534, 3.0),\n",
       "              (16155, 4.0),\n",
       "              (5771, 3.0),\n",
       "              (17022, 5.0)],\n",
       "             525: [(6188, 4.0),\n",
       "              (2441, 4.0),\n",
       "              (13532, 4.0),\n",
       "              (4371, 5.0),\n",
       "              (5138, 5.0)],\n",
       "             526: [(5797, 3.0),\n",
       "              (18233, 5.0),\n",
       "              (146, 5.0),\n",
       "              (12902, 5.0),\n",
       "              (17761, 5.0),\n",
       "              (2461, 5.0),\n",
       "              (14543, 5.0)],\n",
       "             527: [(13485, 5.0),\n",
       "              (5167, 5.0),\n",
       "              (7248, 5.0),\n",
       "              (17652, 5.0),\n",
       "              (8815, 5.0)],\n",
       "             528: [(2017, 5.0),\n",
       "              (3899, 4.0),\n",
       "              (436, 5.0),\n",
       "              (1847, 5.0),\n",
       "              (12885, 5.0),\n",
       "              (76, 5.0),\n",
       "              (18345, 5.0),\n",
       "              (5655, 5.0)],\n",
       "             529: [(8488, 5.0),\n",
       "              (20948, 5.0),\n",
       "              (10034, 5.0),\n",
       "              (14915, 5.0),\n",
       "              (10851, 5.0),\n",
       "              (562, 5.0),\n",
       "              (17159, 5.0)],\n",
       "             530: [(6033, 4.0),\n",
       "              (20688, 3.0),\n",
       "              (5739, 5.0),\n",
       "              (3621, 4.0),\n",
       "              (20572, 3.0),\n",
       "              (2194, 3.0)],\n",
       "             531: [(6731, 4.0),\n",
       "              (4607, 4.0),\n",
       "              (7384, 3.0),\n",
       "              (5338, 3.0),\n",
       "              (9715, 4.0),\n",
       "              (10588, 3.0),\n",
       "              (14754, 3.0),\n",
       "              (20285, 3.0),\n",
       "              (10275, 4.0),\n",
       "              (3332, 3.0),\n",
       "              (11755, 4.0),\n",
       "              (3850, 4.0),\n",
       "              (9132, 4.0),\n",
       "              (16, 4.0),\n",
       "              (20158, 3.0),\n",
       "              (15913, 4.0),\n",
       "              (751, 4.0),\n",
       "              (4443, 4.0),\n",
       "              (20221, 3.0),\n",
       "              (6432, 5.0),\n",
       "              (14766, 3.0),\n",
       "              (8442, 4.0),\n",
       "              (8034, 3.0),\n",
       "              (226, 4.0),\n",
       "              (18954, 4.0),\n",
       "              (12674, 3.0),\n",
       "              (6299, 4.0),\n",
       "              (6912, 5.0),\n",
       "              (16173, 4.0),\n",
       "              (3003, 4.0),\n",
       "              (18365, 4.0),\n",
       "              (9292, 3.0),\n",
       "              (1949, 5.0),\n",
       "              (3095, 3.0),\n",
       "              (10015, 4.0),\n",
       "              (11221, 4.0),\n",
       "              (20736, 3.0),\n",
       "              (20656, 4.0),\n",
       "              (8361, 3.0),\n",
       "              (4611, 3.0)],\n",
       "             532: [(1101, 4.0),\n",
       "              (14052, 3.0),\n",
       "              (15390, 4.0),\n",
       "              (8585, 5.0),\n",
       "              (11477, 3.0)],\n",
       "             533: [(13543, 4.0), (8314, 4.0), (4421, 4.0), (2664, 4.0)],\n",
       "             534: [(10449, 4.0), (6090, 4.0), (6898, 3.0), (16833, 3.0)],\n",
       "             535: [(15315, 5.0), (8185, 5.0), (12970, 5.0), (4063, 5.0)],\n",
       "             536: [(3850, 4.0), (18785, 3.0), (902, 4.0)],\n",
       "             537: [(4113, 2.0),\n",
       "              (16324, 4.0),\n",
       "              (4286, 5.0),\n",
       "              (12144, 3.0),\n",
       "              (1092, 4.0),\n",
       "              (1167, 1.0),\n",
       "              (15325, 5.0),\n",
       "              (11193, 3.0),\n",
       "              (12785, 5.0),\n",
       "              (4963, 2.0),\n",
       "              (15309, 4.0),\n",
       "              (18167, 5.0),\n",
       "              (6318, 4.0),\n",
       "              (28, 5.0),\n",
       "              (14382, 5.0),\n",
       "              (12369, 3.0),\n",
       "              (19924, 4.0),\n",
       "              (21179, 2.0),\n",
       "              (3820, 2.0),\n",
       "              (423, 5.0),\n",
       "              (10609, 5.0),\n",
       "              (4939, 5.0),\n",
       "              (17246, 4.0),\n",
       "              (3589, 2.0),\n",
       "              (10546, 4.0),\n",
       "              (7765, 5.0),\n",
       "              (7734, 1.0),\n",
       "              (3527, 3.0),\n",
       "              (10251, 5.0),\n",
       "              (874, 1.0),\n",
       "              (20887, 5.0),\n",
       "              (9859, 3.0),\n",
       "              (7297, 5.0),\n",
       "              (8173, 4.0),\n",
       "              (2816, 3.0),\n",
       "              (4874, 4.0),\n",
       "              (4751, 5.0),\n",
       "              (13477, 2.0),\n",
       "              (14124, 4.0),\n",
       "              (16445, 5.0),\n",
       "              (11033, 5.0),\n",
       "              (20918, 4.0),\n",
       "              (769, 1.0),\n",
       "              (6247, 4.0),\n",
       "              (5364, 5.0),\n",
       "              (1775, 5.0),\n",
       "              (13853, 4.0)],\n",
       "             538: [(15983, 5.0),\n",
       "              (6026, 5.0),\n",
       "              (4783, 4.0),\n",
       "              (3315, 5.0),\n",
       "              (17220, 5.0),\n",
       "              (8872, 5.0)],\n",
       "             539: [(12943, 5.0),\n",
       "              (12261, 5.0),\n",
       "              (20948, 5.0),\n",
       "              (13951, 5.0),\n",
       "              (10034, 5.0),\n",
       "              (9886, 5.0),\n",
       "              (4530, 4.0),\n",
       "              (17159, 5.0),\n",
       "              (13402, 3.0)],\n",
       "             540: [(19615, 5.0), (5829, 5.0), (6961, 4.0), (19963, 4.0)],\n",
       "             541: [(20657, 5.0),\n",
       "              (11517, 4.0),\n",
       "              (19804, 5.0),\n",
       "              (13095, 4.0),\n",
       "              (9147, 4.0),\n",
       "              (10126, 5.0),\n",
       "              (8184, 4.0)],\n",
       "             542: [(6436, 5.0),\n",
       "              (12968, 4.0),\n",
       "              (11778, 3.0),\n",
       "              (420, 3.0),\n",
       "              (9537, 4.0),\n",
       "              (12134, 3.0),\n",
       "              (13898, 3.0),\n",
       "              (15186, 2.0),\n",
       "              (5173, 4.0),\n",
       "              (16313, 3.0),\n",
       "              (2950, 4.0),\n",
       "              (12691, 4.0)],\n",
       "             543: [(20694, 4.0),\n",
       "              (16582, 4.0),\n",
       "              (20826, 5.0),\n",
       "              (9870, 3.0),\n",
       "              (12961, 4.0),\n",
       "              (15636, 3.0)],\n",
       "             544: [(16878, 5.0),\n",
       "              (8399, 4.0),\n",
       "              (14332, 2.0),\n",
       "              (4398, 4.0),\n",
       "              (14916, 4.0),\n",
       "              (1576, 5.0),\n",
       "              (11583, 3.0),\n",
       "              (20771, 2.0)],\n",
       "             545: [(13259, 4.0),\n",
       "              (1540, 4.0),\n",
       "              (11506, 5.0),\n",
       "              (17522, 5.0),\n",
       "              (9279, 5.0),\n",
       "              (19792, 5.0),\n",
       "              (8994, 5.0),\n",
       "              (20667, 5.0),\n",
       "              (7312, 4.0),\n",
       "              (13997, 4.0),\n",
       "              (457, 5.0),\n",
       "              (13171, 4.0),\n",
       "              (7733, 5.0),\n",
       "              (14703, 5.0)],\n",
       "             546: [(12804, 5.0), (14012, 5.0), (15022, 5.0), (5108, 5.0)],\n",
       "             547: [(91, 3.0), (1564, 5.0), (4253, 5.0), (21152, 5.0)],\n",
       "             548: [(13892, 4.0),\n",
       "              (17049, 1.0),\n",
       "              (1529, 3.0),\n",
       "              (2075, 4.0),\n",
       "              (13891, 3.0),\n",
       "              (4794, 5.0),\n",
       "              (14665, 4.0),\n",
       "              (4066, 3.0),\n",
       "              (11615, 4.0),\n",
       "              (18216, 3.0),\n",
       "              (8432, 3.0),\n",
       "              (17995, 1.0),\n",
       "              (10402, 5.0),\n",
       "              (16680, 5.0),\n",
       "              (16981, 5.0),\n",
       "              (4449, 1.0),\n",
       "              (3566, 4.0),\n",
       "              (3329, 4.0),\n",
       "              (3591, 4.0),\n",
       "              (7922, 3.0),\n",
       "              (4328, 3.0),\n",
       "              (11936, 5.0),\n",
       "              (21120, 1.0),\n",
       "              (14867, 4.0),\n",
       "              (16833, 5.0),\n",
       "              (10085, 5.0),\n",
       "              (13285, 4.0),\n",
       "              (14903, 4.0)],\n",
       "             549: [(16918, 4.0),\n",
       "              (17878, 4.0),\n",
       "              (3838, 4.0),\n",
       "              (11443, 5.0),\n",
       "              (12155, 3.0),\n",
       "              (9456, 5.0)],\n",
       "             550: [(1062, 4.0),\n",
       "              (21198, 4.0),\n",
       "              (728, 5.0),\n",
       "              (6403, 5.0),\n",
       "              (13880, 5.0),\n",
       "              (3724, 4.0)],\n",
       "             551: [(21317, 5.0),\n",
       "              (8372, 4.0),\n",
       "              (18640, 4.0),\n",
       "              (15244, 5.0),\n",
       "              (6608, 5.0),\n",
       "              (9327, 4.0),\n",
       "              (12294, 5.0),\n",
       "              (8518, 5.0),\n",
       "              (9978, 5.0),\n",
       "              (6733, 5.0)],\n",
       "             552: [(15835, 5.0), (6741, 5.0), (1034, 5.0), (6471, 4.0)],\n",
       "             553: [(1856, 5.0), (1127, 5.0), (11243, 5.0), (18664, 3.0)],\n",
       "             554: [(6360, 4.0),\n",
       "              (16853, 4.0),\n",
       "              (3093, 4.0),\n",
       "              (13408, 4.0),\n",
       "              (5085, 4.0),\n",
       "              (13471, 4.0),\n",
       "              (20148, 4.0),\n",
       "              (6757, 5.0),\n",
       "              (2189, 4.0),\n",
       "              (3662, 5.0),\n",
       "              (20579, 4.0),\n",
       "              (18618, 4.0),\n",
       "              (18778, 4.0),\n",
       "              (18733, 4.0),\n",
       "              (12331, 5.0),\n",
       "              (1017, 5.0),\n",
       "              (6754, 5.0),\n",
       "              (7367, 4.0),\n",
       "              (1180, 4.0),\n",
       "              (20796, 4.0),\n",
       "              (17893, 5.0),\n",
       "              (8257, 4.0),\n",
       "              (12668, 4.0),\n",
       "              (578, 4.0),\n",
       "              (9374, 4.0),\n",
       "              (7078, 4.0),\n",
       "              (889, 5.0)],\n",
       "             555: [(14041, 4.0),\n",
       "              (8178, 4.0),\n",
       "              (14375, 4.0),\n",
       "              (14717, 4.0),\n",
       "              (13659, 5.0)],\n",
       "             556: [(5258, 5.0),\n",
       "              (11629, 5.0),\n",
       "              (3126, 2.0),\n",
       "              (13937, 5.0),\n",
       "              (16297, 5.0),\n",
       "              (1736, 5.0),\n",
       "              (17387, 5.0),\n",
       "              (12562, 5.0),\n",
       "              (14420, 3.0),\n",
       "              (850, 4.0),\n",
       "              (13797, 4.0),\n",
       "              (41, 5.0),\n",
       "              (13763, 4.0),\n",
       "              (2690, 5.0),\n",
       "              (16758, 5.0),\n",
       "              (19346, 5.0),\n",
       "              (17001, 5.0),\n",
       "              (8863, 5.0)],\n",
       "             557: [(18509, 3.0),\n",
       "              (11847, 5.0),\n",
       "              (6905, 3.0),\n",
       "              (3694, 3.0),\n",
       "              (19026, 4.0),\n",
       "              (566, 3.0),\n",
       "              (4485, 4.0)],\n",
       "             558: [(10001, 5.0),\n",
       "              (16973, 5.0),\n",
       "              (4873, 5.0),\n",
       "              (10631, 5.0),\n",
       "              (21139, 5.0),\n",
       "              (1746, 4.0),\n",
       "              (8469, 5.0)],\n",
       "             559: [(8491, 5.0), (12349, 3.0), (13449, 4.0), (6171, 3.0)],\n",
       "             560: [(14675, 5.0),\n",
       "              (2115, 5.0),\n",
       "              (353, 5.0),\n",
       "              (12254, 4.0),\n",
       "              (12477, 5.0)],\n",
       "             561: [(1634, 5.0),\n",
       "              (10882, 4.0),\n",
       "              (16663, 5.0),\n",
       "              (2044, 5.0),\n",
       "              (8577, 5.0),\n",
       "              (13942, 3.0),\n",
       "              (12042, 5.0)],\n",
       "             562: [(225, 4.0),\n",
       "              (11667, 4.0),\n",
       "              (17601, 4.0),\n",
       "              (18144, 4.0),\n",
       "              (7973, 4.0),\n",
       "              (12303, 4.0),\n",
       "              (6272, 4.0),\n",
       "              (7545, 3.0),\n",
       "              (14286, 4.0),\n",
       "              (10413, 4.0)],\n",
       "             563: [(15115, 5.0), (21301, 5.0), (21081, 5.0)],\n",
       "             564: [(18355, 4.0),\n",
       "              (11898, 5.0),\n",
       "              (8930, 5.0),\n",
       "              (16859, 4.0),\n",
       "              (19343, 3.0),\n",
       "              (19661, 3.0)],\n",
       "             565: [(401, 5.0),\n",
       "              (19361, 5.0),\n",
       "              (8587, 4.0),\n",
       "              (12922, 5.0),\n",
       "              (15954, 5.0),\n",
       "              (15287, 5.0),\n",
       "              (1971, 4.0)],\n",
       "             566: [(19751, 5.0), (10828, 4.0), (7691, 4.0), (8540, 4.0)],\n",
       "             567: [(10953, 4.0),\n",
       "              (19174, 3.0),\n",
       "              (6563, 4.0),\n",
       "              (4266, 4.0),\n",
       "              (3235, 4.0),\n",
       "              (19444, 5.0),\n",
       "              (7633, 5.0),\n",
       "              (20806, 5.0),\n",
       "              (18311, 4.0),\n",
       "              (840, 4.0),\n",
       "              (10299, 4.0),\n",
       "              (7901, 5.0),\n",
       "              (18417, 4.0),\n",
       "              (16830, 5.0),\n",
       "              (8750, 5.0),\n",
       "              (15093, 5.0),\n",
       "              (1175, 4.0),\n",
       "              (504, 3.0),\n",
       "              (1548, 3.0),\n",
       "              (17122, 4.0),\n",
       "              (10353, 4.0),\n",
       "              (16924, 4.0),\n",
       "              (11366, 4.0),\n",
       "              (6818, 5.0),\n",
       "              (2922, 3.0),\n",
       "              (8219, 4.0),\n",
       "              (6747, 5.0),\n",
       "              (248, 3.0),\n",
       "              (1308, 5.0),\n",
       "              (3134, 5.0),\n",
       "              (3838, 5.0),\n",
       "              (216, 3.0),\n",
       "              (20506, 4.0),\n",
       "              (13956, 3.0),\n",
       "              (1482, 5.0),\n",
       "              (2730, 5.0),\n",
       "              (11644, 4.0),\n",
       "              (4182, 5.0),\n",
       "              (13507, 4.0),\n",
       "              (6080, 4.0),\n",
       "              (13808, 3.0),\n",
       "              (7847, 3.0),\n",
       "              (20510, 5.0),\n",
       "              (1352, 4.0),\n",
       "              (4235, 4.0),\n",
       "              (16094, 4.0),\n",
       "              (3481, 4.0),\n",
       "              (10899, 5.0),\n",
       "              (4922, 5.0),\n",
       "              (19760, 3.0),\n",
       "              (3408, 3.0),\n",
       "              (3971, 4.0),\n",
       "              (12831, 4.0),\n",
       "              (7064, 5.0),\n",
       "              (12811, 3.0),\n",
       "              (8580, 4.0),\n",
       "              (17193, 4.0),\n",
       "              (39, 4.0),\n",
       "              (114, 5.0),\n",
       "              (14765, 3.0),\n",
       "              (16354, 4.0),\n",
       "              (1499, 3.0),\n",
       "              (4935, 4.0),\n",
       "              (7269, 4.0),\n",
       "              (11881, 5.0),\n",
       "              (9675, 5.0),\n",
       "              (17604, 4.0),\n",
       "              (6443, 3.0),\n",
       "              (2271, 4.0),\n",
       "              (8020, 4.0)],\n",
       "             568: [(18861, 3.0), (12548, 5.0), (18954, 3.0)],\n",
       "             569: [(1304, 5.0), (1413, 2.0), (21307, 4.0), (3667, 1.0)],\n",
       "             570: [(751, 5.0), (9398, 4.0), (5665, 3.0), (18710, 4.0)],\n",
       "             571: [(1672, 3.0), (12619, 3.0), (10440, 3.0)],\n",
       "             572: [(16012, 5.0),\n",
       "              (2107, 4.0),\n",
       "              (5703, 4.0),\n",
       "              (11292, 5.0),\n",
       "              (19905, 4.0),\n",
       "              (6598, 4.0),\n",
       "              (11164, 3.0),\n",
       "              (16146, 5.0),\n",
       "              (466, 5.0),\n",
       "              (13865, 5.0)],\n",
       "             573: [(19974, 4.0),\n",
       "              (381, 3.0),\n",
       "              (5061, 5.0),\n",
       "              (19514, 5.0),\n",
       "              (9637, 4.0),\n",
       "              (19347, 5.0),\n",
       "              (15175, 5.0),\n",
       "              (19355, 4.0),\n",
       "              (16203, 5.0),\n",
       "              (18782, 4.0)],\n",
       "             574: [(10200, 5.0),\n",
       "              (11612, 4.0),\n",
       "              (14225, 5.0),\n",
       "              (16602, 5.0),\n",
       "              (10254, 4.0)],\n",
       "             575: [(2525, 5.0), (6819, 5.0), (19829, 5.0)],\n",
       "             576: [(17645, 5.0),\n",
       "              (10252, 5.0),\n",
       "              (2942, 5.0),\n",
       "              (19741, 5.0),\n",
       "              (14359, 5.0),\n",
       "              (14100, 5.0),\n",
       "              (4068, 5.0),\n",
       "              (1225, 5.0),\n",
       "              (10657, 5.0),\n",
       "              (18337, 5.0),\n",
       "              (7300, 5.0)],\n",
       "             577: [(17287, 5.0),\n",
       "              (15798, 5.0),\n",
       "              (7002, 4.0),\n",
       "              (2534, 4.0),\n",
       "              (3252, 4.0)],\n",
       "             578: [(16237, 5.0),\n",
       "              (1564, 3.0),\n",
       "              (2915, 4.0),\n",
       "              (20410, 2.0),\n",
       "              (374, 5.0),\n",
       "              (7485, 5.0),\n",
       "              (19044, 4.0),\n",
       "              (4253, 4.0),\n",
       "              (15800, 5.0),\n",
       "              (21291, 4.0),\n",
       "              (8226, 4.0),\n",
       "              (8848, 5.0),\n",
       "              (1579, 4.0)],\n",
       "             579: [(1859, 5.0), (19445, 4.0), (8610, 4.0)],\n",
       "             580: [(13812, 4.0),\n",
       "              (14773, 3.0),\n",
       "              (21089, 4.0),\n",
       "              (20011, 2.0),\n",
       "              (11898, 5.0),\n",
       "              (2815, 4.0)],\n",
       "             581: [(18156, 5.0),\n",
       "              (13890, 4.0),\n",
       "              (3418, 4.0),\n",
       "              (11416, 5.0),\n",
       "              (19318, 5.0),\n",
       "              (20244, 5.0),\n",
       "              (18666, 4.0),\n",
       "              (4716, 5.0),\n",
       "              (14033, 5.0),\n",
       "              (12309, 4.0)],\n",
       "             582: [(807, 5.0),\n",
       "              (2013, 5.0),\n",
       "              (1926, 5.0),\n",
       "              (8310, 4.0),\n",
       "              (12492, 5.0),\n",
       "              (9256, 3.0),\n",
       "              (19862, 5.0),\n",
       "              (21117, 4.0),\n",
       "              (15284, 5.0)],\n",
       "             583: [(4779, 5.0),\n",
       "              (7350, 5.0),\n",
       "              (18930, 5.0),\n",
       "              (900, 5.0),\n",
       "              (18523, 5.0),\n",
       "              (16998, 5.0)],\n",
       "             584: [(179, 2.0), (4966, 4.0), (13636, 4.0), (21297, 4.0)],\n",
       "             585: [(2901, 5.0),\n",
       "              (36, 4.0),\n",
       "              (6401, 4.0),\n",
       "              (6437, 5.0),\n",
       "              (11314, 5.0),\n",
       "              (11031, 4.0),\n",
       "              (10163, 4.0)],\n",
       "             586: [(4312, 3.0), (9297, 4.0), (8635, 4.0), (1886, 4.0)],\n",
       "             587: [(20740, 5.0),\n",
       "              (1337, 5.0),\n",
       "              (20347, 5.0),\n",
       "              (17403, 5.0),\n",
       "              (2991, 4.0),\n",
       "              (15578, 5.0),\n",
       "              (19439, 4.0)],\n",
       "             588: [(382, 4.0),\n",
       "              (6802, 5.0),\n",
       "              (20612, 5.0),\n",
       "              (17053, 4.0),\n",
       "              (8434, 3.0),\n",
       "              (619, 5.0),\n",
       "              (11669, 5.0)],\n",
       "             589: [(8236, 5.0),\n",
       "              (6834, 2.0),\n",
       "              (9206, 5.0),\n",
       "              (15885, 3.0),\n",
       "              (16920, 2.0),\n",
       "              (6615, 2.0)],\n",
       "             590: [(14456, 5.0),\n",
       "              (5767, 4.0),\n",
       "              (4558, 4.0),\n",
       "              (11741, 4.0),\n",
       "              (3958, 3.0),\n",
       "              (3594, 5.0),\n",
       "              (9140, 4.0)],\n",
       "             591: [(2950, 5.0),\n",
       "              (12609, 5.0),\n",
       "              (17365, 5.0),\n",
       "              (17069, 1.0),\n",
       "              (3787, 5.0),\n",
       "              (14946, 5.0),\n",
       "              (3012, 5.0),\n",
       "              (10997, 3.0),\n",
       "              (7618, 4.0),\n",
       "              (482, 5.0),\n",
       "              (16769, 4.0),\n",
       "              (5239, 5.0),\n",
       "              (17274, 4.0),\n",
       "              (7346, 4.0)],\n",
       "             592: [(12485, 3.0),\n",
       "              (6427, 4.0),\n",
       "              (20130, 3.0),\n",
       "              (17581, 4.0),\n",
       "              (15377, 5.0),\n",
       "              (16850, 5.0),\n",
       "              (2880, 4.0),\n",
       "              (5444, 4.0),\n",
       "              (15242, 4.0),\n",
       "              (6083, 3.0),\n",
       "              (12743, 4.0),\n",
       "              (18009, 4.0),\n",
       "              (16633, 3.0),\n",
       "              (15360, 4.0),\n",
       "              (19723, 4.0),\n",
       "              (1403, 3.0),\n",
       "              (3398, 3.0)],\n",
       "             593: [(2324, 5.0),\n",
       "              (3566, 4.0),\n",
       "              (18414, 4.0),\n",
       "              (522, 5.0),\n",
       "              (18947, 4.0),\n",
       "              (18889, 4.0),\n",
       "              (19814, 3.0),\n",
       "              (7891, 3.0),\n",
       "              (20805, 3.0),\n",
       "              (17090, 4.0),\n",
       "              (16266, 4.0),\n",
       "              (15351, 4.0),\n",
       "              (8422, 4.0),\n",
       "              (3025, 4.0),\n",
       "              (7869, 4.0),\n",
       "              (11108, 4.0),\n",
       "              (16435, 4.0),\n",
       "              (14858, 4.0),\n",
       "              (9702, 4.0),\n",
       "              (7276, 4.0),\n",
       "              (3880, 5.0),\n",
       "              (16319, 5.0),\n",
       "              (5731, 4.0),\n",
       "              (14757, 4.0),\n",
       "              (4808, 5.0),\n",
       "              (4234, 3.0),\n",
       "              (6254, 4.0),\n",
       "              (17675, 5.0),\n",
       "              (18623, 5.0),\n",
       "              (1418, 3.0),\n",
       "              (6917, 5.0),\n",
       "              (546, 4.0)],\n",
       "             594: [(9321, 5.0),\n",
       "              (10506, 5.0),\n",
       "              (1859, 5.0),\n",
       "              (15236, 2.0),\n",
       "              (12437, 5.0),\n",
       "              (8860, 4.0)],\n",
       "             595: [(5724, 3.0),\n",
       "              (16106, 5.0),\n",
       "              (1612, 4.0),\n",
       "              (9925, 4.0),\n",
       "              (17860, 4.0),\n",
       "              (16134, 5.0)],\n",
       "             596: [(9063, 4.0), (14437, 4.0), (12400, 4.0), (8259, 5.0)],\n",
       "             597: [(20656, 5.0), (9568, 3.0), (19166, 2.0), (13944, 5.0)],\n",
       "             598: [(17222, 5.0),\n",
       "              (10994, 5.0),\n",
       "              (4840, 5.0),\n",
       "              (6723, 5.0),\n",
       "              (1959, 5.0),\n",
       "              (2975, 5.0),\n",
       "              (10686, 5.0),\n",
       "              (16277, 4.0)],\n",
       "             599: [(16961, 5.0),\n",
       "              (3383, 5.0),\n",
       "              (8961, 5.0),\n",
       "              (3938, 4.0),\n",
       "              (14847, 5.0),\n",
       "              (7272, 5.0),\n",
       "              (12778, 5.0),\n",
       "              (899, 5.0),\n",
       "              (8940, 5.0),\n",
       "              (17725, 5.0),\n",
       "              (20885, 4.0),\n",
       "              (21224, 5.0),\n",
       "              (1088, 5.0),\n",
       "              (489, 5.0)],\n",
       "             600: [(13030, 5.0),\n",
       "              (3928, 5.0),\n",
       "              (13798, 5.0),\n",
       "              (10276, 5.0),\n",
       "              (5949, 5.0)],\n",
       "             601: [(20550, 4.0),\n",
       "              (3025, 4.0),\n",
       "              (14711, 4.0),\n",
       "              (7962, 4.0),\n",
       "              (1518, 4.0),\n",
       "              (1997, 4.0),\n",
       "              (1395, 5.0),\n",
       "              (14364, 4.0),\n",
       "              (9194, 4.0),\n",
       "              (3396, 4.0),\n",
       "              (20194, 4.0),\n",
       "              (948, 4.0),\n",
       "              (5368, 4.0),\n",
       "              (21094, 5.0),\n",
       "              (14723, 3.0),\n",
       "              (15956, 4.0),\n",
       "              (15234, 5.0),\n",
       "              (18249, 5.0),\n",
       "              (9653, 4.0),\n",
       "              (10778, 5.0),\n",
       "              (18369, 4.0),\n",
       "              (11675, 5.0),\n",
       "              (20491, 3.0),\n",
       "              (20687, 4.0),\n",
       "              (19482, 4.0),\n",
       "              (2807, 4.0),\n",
       "              (21181, 4.0),\n",
       "              (17500, 5.0),\n",
       "              (2593, 5.0),\n",
       "              (10434, 4.0),\n",
       "              (14757, 4.0),\n",
       "              (10363, 3.0),\n",
       "              (15589, 4.0),\n",
       "              (7248, 5.0),\n",
       "              (3517, 5.0),\n",
       "              (21313, 5.0),\n",
       "              (16466, 4.0),\n",
       "              (11197, 5.0),\n",
       "              (7216, 4.0),\n",
       "              (9697, 5.0),\n",
       "              (286, 4.0),\n",
       "              (16423, 4.0),\n",
       "              (13286, 4.0),\n",
       "              (2522, 4.0),\n",
       "              (15746, 5.0),\n",
       "              (17120, 4.0),\n",
       "              (20805, 4.0),\n",
       "              (13485, 4.0),\n",
       "              (9897, 4.0),\n",
       "              (3948, 3.0),\n",
       "              (13880, 5.0),\n",
       "              (21073, 4.0),\n",
       "              (7632, 4.0),\n",
       "              (1680, 4.0),\n",
       "              (825, 3.0),\n",
       "              (14411, 5.0),\n",
       "              (7201, 3.0),\n",
       "              (17541, 3.0),\n",
       "              (16393, 4.0),\n",
       "              (13459, 4.0),\n",
       "              (2264, 4.0),\n",
       "              (9746, 4.0),\n",
       "              (3638, 4.0),\n",
       "              (8267, 4.0),\n",
       "              (19457, 4.0),\n",
       "              (12050, 4.0),\n",
       "              (10259, 4.0),\n",
       "              (11924, 4.0),\n",
       "              (16133, 5.0),\n",
       "              (3216, 5.0),\n",
       "              (2929, 4.0),\n",
       "              (4711, 4.0),\n",
       "              (17230, 4.0),\n",
       "              (10210, 4.0),\n",
       "              (14850, 4.0),\n",
       "              (2310, 4.0),\n",
       "              (762, 4.0),\n",
       "              (19341, 4.0),\n",
       "              (20615, 4.0),\n",
       "              (8644, 4.0),\n",
       "              (17537, 5.0),\n",
       "              (17197, 4.0),\n",
       "              (11336, 5.0),\n",
       "              (3035, 4.0),\n",
       "              (1520, 4.0),\n",
       "              (5417, 3.0),\n",
       "              (12644, 5.0),\n",
       "              (1426, 5.0),\n",
       "              (2195, 4.0),\n",
       "              (6963, 5.0),\n",
       "              (7084, 4.0),\n",
       "              (9730, 4.0),\n",
       "              (5256, 5.0),\n",
       "              (6472, 4.0),\n",
       "              (19245, 3.0),\n",
       "              (16265, 5.0),\n",
       "              (11743, 4.0),\n",
       "              (11936, 4.0),\n",
       "              (16087, 4.0),\n",
       "              (10138, 4.0),\n",
       "              (9523, 3.0),\n",
       "              (15005, 5.0),\n",
       "              (1060, 3.0),\n",
       "              (14283, 4.0),\n",
       "              (9056, 4.0),\n",
       "              (11807, 4.0),\n",
       "              (9813, 4.0),\n",
       "              (2448, 4.0),\n",
       "              (11877, 5.0),\n",
       "              (13673, 4.0),\n",
       "              (10910, 4.0),\n",
       "              (8926, 4.0),\n",
       "              (17264, 5.0),\n",
       "              (2253, 4.0),\n",
       "              (11147, 5.0),\n",
       "              (13900, 4.0),\n",
       "              (7908, 5.0),\n",
       "              (19973, 3.0),\n",
       "              (16933, 5.0),\n",
       "              (3353, 4.0),\n",
       "              (13155, 5.0),\n",
       "              (5476, 5.0),\n",
       "              (16127, 4.0),\n",
       "              (14005, 5.0),\n",
       "              (4340, 3.0),\n",
       "              (448, 5.0),\n",
       "              (1439, 4.0),\n",
       "              (424, 5.0),\n",
       "              (8595, 4.0),\n",
       "              (3154, 4.0),\n",
       "              (9893, 5.0),\n",
       "              (15364, 4.0),\n",
       "              (20911, 3.0),\n",
       "              (4427, 4.0),\n",
       "              (8933, 4.0),\n",
       "              (1328, 5.0),\n",
       "              (16614, 3.0),\n",
       "              (13310, 4.0),\n",
       "              (19569, 5.0),\n",
       "              (17053, 5.0),\n",
       "              (6320, 5.0),\n",
       "              (20607, 4.0),\n",
       "              (19969, 5.0),\n",
       "              (7842, 5.0),\n",
       "              (3021, 5.0),\n",
       "              (15199, 5.0),\n",
       "              (18234, 4.0),\n",
       "              (4512, 4.0),\n",
       "              (5167, 4.0),\n",
       "              (18524, 4.0),\n",
       "              (15226, 4.0),\n",
       "              (17666, 5.0),\n",
       "              (4077, 4.0),\n",
       "              (5226, 4.0),\n",
       "              (8968, 4.0),\n",
       "              (20698, 4.0),\n",
       "              (14665, 3.0),\n",
       "              (9979, 4.0),\n",
       "              (7554, 3.0),\n",
       "              (9495, 4.0),\n",
       "              (4648, 4.0),\n",
       "              (20759, 5.0),\n",
       "              (17483, 5.0),\n",
       "              (15993, 4.0),\n",
       "              (17685, 3.0),\n",
       "              (8699, 2.0),\n",
       "              (4641, 4.0),\n",
       "              (3799, 4.0),\n",
       "              (2340, 5.0),\n",
       "              (12566, 4.0),\n",
       "              (4984, 5.0),\n",
       "              (6402, 4.0),\n",
       "              (6342, 5.0),\n",
       "              (8555, 4.0),\n",
       "              (15841, 3.0),\n",
       "              (6383, 5.0),\n",
       "              (16407, 4.0),\n",
       "              (3175, 4.0),\n",
       "              (11256, 4.0),\n",
       "              (7420, 5.0),\n",
       "              (19203, 4.0),\n",
       "              (20017, 5.0),\n",
       "              (2364, 4.0),\n",
       "              (17022, 4.0),\n",
       "              (10971, 4.0),\n",
       "              (11574, 3.0),\n",
       "              (20286, 5.0),\n",
       "              (18484, 4.0),\n",
       "              (122, 4.0),\n",
       "              (3637, 5.0),\n",
       "              (14157, 5.0),\n",
       "              (17224, 3.0),\n",
       "              (4906, 5.0),\n",
       "              (2775, 4.0),\n",
       "              (5661, 4.0),\n",
       "              (5197, 5.0),\n",
       "              (13687, 5.0),\n",
       "              (4973, 4.0),\n",
       "              (6012, 4.0)],\n",
       "             602: [(3552, 4.0),\n",
       "              (3783, 3.0),\n",
       "              (11210, 4.0),\n",
       "              (5710, 4.0),\n",
       "              (21223, 4.0),\n",
       "              (13956, 4.0)],\n",
       "             603: [(3091, 5.0),\n",
       "              (885, 4.0),\n",
       "              (4527, 2.0),\n",
       "              (16299, 3.0),\n",
       "              (16922, 4.0),\n",
       "              (4693, 4.0),\n",
       "              (11934, 3.0)],\n",
       "             604: [(11692, 3.0),\n",
       "              (19778, 5.0),\n",
       "              (8610, 5.0),\n",
       "              (7532, 4.0),\n",
       "              (6390, 5.0),\n",
       "              (9273, 5.0),\n",
       "              (16687, 5.0)],\n",
       "             605: [(13734, 3.0),\n",
       "              (13336, 2.0),\n",
       "              (1568, 4.0),\n",
       "              (16091, 5.0),\n",
       "              (12335, 3.0),\n",
       "              (15872, 2.0)],\n",
       "             606: [(8465, 5.0), (2700, 4.0), (15667, 2.0), (3674, 5.0)],\n",
       "             607: [(10228, 3.0),\n",
       "              (5348, 5.0),\n",
       "              (1132, 3.0),\n",
       "              (8948, 5.0),\n",
       "              (841, 3.0),\n",
       "              (9173, 5.0),\n",
       "              (7091, 5.0),\n",
       "              (9787, 5.0),\n",
       "              (4398, 5.0)],\n",
       "             608: [(8184, 4.0), (857, 3.0), (11532, 4.0), (19225, 3.0)],\n",
       "             609: [(19424, 4.0),\n",
       "              (10173, 5.0),\n",
       "              (18390, 5.0),\n",
       "              (1344, 4.0),\n",
       "              (5900, 5.0),\n",
       "              (13417, 5.0),\n",
       "              (2727, 4.0),\n",
       "              (1488, 4.0),\n",
       "              (10525, 5.0)],\n",
       "             610: [(99, 5.0), (20719, 5.0), (14672, 2.0)],\n",
       "             611: [(9504, 3.0), (11190, 5.0), (8354, 5.0), (7757, 3.0)],\n",
       "             612: [(10106, 5.0),\n",
       "              (19691, 5.0),\n",
       "              (7309, 5.0),\n",
       "              (16029, 4.0),\n",
       "              (21276, 5.0)],\n",
       "             613: [(15288, 5.0),\n",
       "              (12364, 4.0),\n",
       "              (4172, 4.0),\n",
       "              (6900, 4.0),\n",
       "              (15104, 4.0),\n",
       "              (12785, 5.0),\n",
       "              (7411, 5.0),\n",
       "              (1174, 4.0),\n",
       "              (15788, 4.0),\n",
       "              (18212, 4.0),\n",
       "              (8182, 4.0),\n",
       "              (10734, 5.0),\n",
       "              (12089, 5.0),\n",
       "              (20242, 5.0),\n",
       "              (887, 4.0),\n",
       "              (13879, 5.0),\n",
       "              (9499, 3.0),\n",
       "              (14880, 4.0),\n",
       "              (8973, 4.0),\n",
       "              (20003, 4.0),\n",
       "              (7297, 5.0),\n",
       "              (3473, 4.0),\n",
       "              (10953, 4.0),\n",
       "              (15935, 5.0),\n",
       "              (780, 4.0),\n",
       "              (11299, 4.0),\n",
       "              (9875, 4.0),\n",
       "              (7447, 5.0),\n",
       "              (11611, 4.0),\n",
       "              (3589, 4.0),\n",
       "              (4551, 5.0),\n",
       "              (15254, 5.0),\n",
       "              (17271, 5.0),\n",
       "              (14550, 4.0),\n",
       "              (2382, 2.0),\n",
       "              (1839, 2.0),\n",
       "              (18222, 4.0),\n",
       "              (13102, 5.0),\n",
       "              (21136, 5.0),\n",
       "              (5906, 3.0),\n",
       "              (1322, 4.0)],\n",
       "             614: [(18078, 5.0),\n",
       "              (12740, 5.0),\n",
       "              (15808, 4.0),\n",
       "              (14255, 4.0),\n",
       "              (14316, 3.0),\n",
       "              (2161, 4.0),\n",
       "              (14188, 4.0),\n",
       "              (6110, 5.0),\n",
       "              (10777, 5.0),\n",
       "              (2441, 4.0),\n",
       "              (7869, 4.0),\n",
       "              (15599, 5.0),\n",
       "              (14843, 3.0),\n",
       "              (2212, 4.0),\n",
       "              (16306, 4.0)],\n",
       "             615: [(20087, 5.0), (17580, 4.0), (13030, 5.0), (13798, 5.0)],\n",
       "             616: [(1918, 5.0),\n",
       "              (10673, 5.0),\n",
       "              (6161, 4.0),\n",
       "              (20231, 5.0),\n",
       "              (19403, 4.0),\n",
       "              (13883, 5.0),\n",
       "              (7300, 5.0),\n",
       "              (11912, 5.0),\n",
       "              (903, 4.0),\n",
       "              (17645, 5.0)],\n",
       "             617: [(5438, 5.0),\n",
       "              (360, 5.0),\n",
       "              (14346, 4.0),\n",
       "              (8419, 5.0),\n",
       "              (20483, 5.0)],\n",
       "             618: [(6071, 4.0),\n",
       "              (1939, 5.0),\n",
       "              (17843, 4.0),\n",
       "              (21247, 3.0),\n",
       "              (3715, 4.0),\n",
       "              (15670, 4.0),\n",
       "              (2677, 5.0),\n",
       "              (18095, 4.0),\n",
       "              (15870, 5.0),\n",
       "              (20211, 2.0),\n",
       "              (167, 4.0),\n",
       "              (4025, 4.0),\n",
       "              (20385, 4.0),\n",
       "              (19880, 5.0),\n",
       "              (12433, 3.0),\n",
       "              (20893, 5.0),\n",
       "              (19644, 3.0),\n",
       "              (19656, 4.0)],\n",
       "             619: [(14065, 5.0),\n",
       "              (135, 4.0),\n",
       "              (2183, 5.0),\n",
       "              (20874, 5.0),\n",
       "              (10339, 5.0),\n",
       "              (17305, 5.0),\n",
       "              (401, 5.0),\n",
       "              (13536, 5.0)],\n",
       "             620: [(8866, 4.0),\n",
       "              (2731, 5.0),\n",
       "              (16203, 5.0),\n",
       "              (19514, 5.0),\n",
       "              (2829, 4.0)],\n",
       "             621: [(5470, 4.0),\n",
       "              (3589, 4.0),\n",
       "              (2774, 4.0),\n",
       "              (15081, 4.0),\n",
       "              (2382, 3.0),\n",
       "              (19240, 4.0),\n",
       "              (12312, 4.0),\n",
       "              (7429, 3.0),\n",
       "              (9494, 4.0),\n",
       "              (11073, 4.0),\n",
       "              (11718, 5.0)],\n",
       "             622: [(4120, 1.0),\n",
       "              (16513, 4.0),\n",
       "              (18738, 3.0),\n",
       "              (12566, 5.0),\n",
       "              (17128, 5.0),\n",
       "              (10590, 2.0),\n",
       "              (19384, 4.0),\n",
       "              (9503, 4.0),\n",
       "              (5893, 4.0),\n",
       "              (13364, 4.0),\n",
       "              (11354, 5.0),\n",
       "              (11940, 5.0),\n",
       "              (7718, 5.0)],\n",
       "             623: [(10729, 5.0),\n",
       "              (242, 5.0),\n",
       "              (8982, 5.0),\n",
       "              (12134, 3.0),\n",
       "              (15774, 5.0)],\n",
       "             624: [(13147, 3.0),\n",
       "              (13607, 5.0),\n",
       "              (18450, 5.0),\n",
       "              (15831, 4.0),\n",
       "              (19783, 4.0),\n",
       "              (21027, 4.0),\n",
       "              (18557, 3.0),\n",
       "              (6068, 5.0),\n",
       "              (3510, 5.0),\n",
       "              (8638, 5.0),\n",
       "              (18050, 5.0),\n",
       "              (12336, 5.0),\n",
       "              (7950, 5.0)],\n",
       "             625: [(10854, 5.0),\n",
       "              (6231, 5.0),\n",
       "              (20379, 4.0),\n",
       "              (19510, 5.0),\n",
       "              (4550, 5.0),\n",
       "              (7442, 5.0),\n",
       "              (9184, 5.0),\n",
       "              (17722, 4.0),\n",
       "              (14319, 4.0)],\n",
       "             626: [(4225, 5.0), (17549, 5.0), (17941, 5.0), (7795, 5.0)],\n",
       "             627: [(17172, 5.0),\n",
       "              (2685, 4.0),\n",
       "              (9255, 5.0),\n",
       "              (6963, 5.0),\n",
       "              (119, 5.0),\n",
       "              (13943, 4.0)],\n",
       "             628: [(5209, 4.0), (16690, 4.0), (19754, 5.0), (11305, 4.0)],\n",
       "             629: [(14712, 5.0),\n",
       "              (11301, 5.0),\n",
       "              (17563, 5.0),\n",
       "              (19946, 5.0),\n",
       "              (20070, 5.0)],\n",
       "             630: [(17618, 3.0), (12495, 5.0)],\n",
       "             631: [(12646, 5.0),\n",
       "              (2020, 5.0),\n",
       "              (9329, 5.0),\n",
       "              (11573, 5.0),\n",
       "              (935, 5.0),\n",
       "              (15659, 5.0),\n",
       "              (4563, 5.0),\n",
       "              (1584, 5.0),\n",
       "              (10200, 5.0),\n",
       "              (18665, 5.0),\n",
       "              (3721, 5.0),\n",
       "              (6127, 5.0),\n",
       "              (668, 5.0)],\n",
       "             632: [(7655, 4.0),\n",
       "              (7002, 3.0),\n",
       "              (20289, 3.0),\n",
       "              (13945, 4.0),\n",
       "              (10779, 3.0),\n",
       "              (11017, 4.0),\n",
       "              (11118, 4.0),\n",
       "              (9134, 5.0),\n",
       "              (18737, 4.0),\n",
       "              (5215, 5.0),\n",
       "              (12732, 4.0),\n",
       "              (13568, 3.0),\n",
       "              (19616, 4.0),\n",
       "              (7142, 4.0),\n",
       "              (7184, 5.0),\n",
       "              (12329, 4.0),\n",
       "              (8605, 4.0),\n",
       "              (2172, 4.0),\n",
       "              (5189, 5.0),\n",
       "              (2773, 5.0),\n",
       "              (16294, 4.0)],\n",
       "             633: [(7471, 5.0),\n",
       "              (1896, 4.0),\n",
       "              (1769, 5.0),\n",
       "              (17244, 5.0),\n",
       "              (16428, 5.0)],\n",
       "             634: [(11806, 5.0),\n",
       "              (1706, 5.0),\n",
       "              (3666, 5.0),\n",
       "              (17930, 5.0),\n",
       "              (10194, 5.0)],\n",
       "             635: [(15578, 5.0),\n",
       "              (17455, 5.0),\n",
       "              (1815, 5.0),\n",
       "              (16382, 5.0),\n",
       "              (9656, 5.0),\n",
       "              (8602, 5.0),\n",
       "              (4331, 5.0)],\n",
       "             636: [(15900, 5.0),\n",
       "              (2073, 5.0),\n",
       "              (19192, 5.0),\n",
       "              (8493, 4.0),\n",
       "              (20079, 4.0),\n",
       "              (14577, 3.0)],\n",
       "             637: [(11170, 4.0),\n",
       "              (5053, 5.0),\n",
       "              (17425, 5.0),\n",
       "              (20883, 4.0),\n",
       "              (10738, 4.0),\n",
       "              (10460, 5.0)],\n",
       "             638: [(17645, 5.0),\n",
       "              (8461, 4.0),\n",
       "              (10345, 5.0),\n",
       "              (2943, 5.0),\n",
       "              (20532, 5.0),\n",
       "              (9202, 4.0)],\n",
       "             639: [(1015, 5.0),\n",
       "              (786, 4.0),\n",
       "              (15553, 4.0),\n",
       "              (11172, 4.0),\n",
       "              (10814, 4.0),\n",
       "              (5735, 4.0),\n",
       "              (18713, 4.0),\n",
       "              (7344, 4.0)],\n",
       "             640: [(11407, 5.0),\n",
       "              (18732, 3.0),\n",
       "              (5757, 4.0),\n",
       "              (19751, 5.0),\n",
       "              (1838, 3.0),\n",
       "              (13247, 3.0),\n",
       "              (19024, 3.0),\n",
       "              (10947, 2.0),\n",
       "              (16129, 4.0),\n",
       "              (12806, 3.0),\n",
       "              (20447, 2.0),\n",
       "              (15928, 4.0),\n",
       "              (335, 3.0),\n",
       "              (4555, 5.0),\n",
       "              (21114, 4.0),\n",
       "              (5139, 4.0),\n",
       "              (3480, 4.0)],\n",
       "             641: [(18561, 3.0),\n",
       "              (869, 4.0),\n",
       "              (12803, 3.0),\n",
       "              (346, 4.0),\n",
       "              (7388, 4.0),\n",
       "              (12633, 4.0),\n",
       "              (7636, 5.0),\n",
       "              (6285, 3.0),\n",
       "              (16434, 5.0),\n",
       "              (12926, 3.0),\n",
       "              (18611, 4.0),\n",
       "              (8017, 5.0),\n",
       "              (8157, 2.0),\n",
       "              (20805, 4.0)],\n",
       "             642: [(17675, 4.0), (3476, 5.0), (2865, 5.0), (9273, 5.0)],\n",
       "             643: [(19693, 5.0),\n",
       "              (9194, 4.0),\n",
       "              (16048, 2.0),\n",
       "              (2096, 3.0),\n",
       "              (15569, 4.0),\n",
       "              (9424, 5.0),\n",
       "              (10123, 3.0),\n",
       "              (2509, 4.0),\n",
       "              (9834, 4.0),\n",
       "              (20309, 5.0),\n",
       "              (21034, 2.0),\n",
       "              (10080, 5.0),\n",
       "              (1496, 4.0)],\n",
       "             644: [(16176, 4.0), (2745, 5.0), (4639, 4.0), (12846, 4.0)],\n",
       "             645: [(14131, 5.0), (1005, 5.0), (14984, 5.0), (19465, 1.0)],\n",
       "             646: [(11660, 5.0),\n",
       "              (8660, 5.0),\n",
       "              (16111, 3.0),\n",
       "              (4409, 1.0),\n",
       "              (7751, 4.0)],\n",
       "             647: [(18508, 3.0), (7776, 4.0)],\n",
       "             648: [(20332, 4.0),\n",
       "              (3553, 4.0),\n",
       "              (10484, 4.0),\n",
       "              (18336, 4.0),\n",
       "              (12933, 4.0),\n",
       "              (982, 5.0),\n",
       "              (11485, 5.0),\n",
       "              (4639, 5.0),\n",
       "              (11279, 5.0),\n",
       "              (17755, 4.0),\n",
       "              (1267, 4.0),\n",
       "              (6911, 5.0)],\n",
       "             649: [(21196, 5.0), (16, 5.0), (13071, 5.0)],\n",
       "             650: [(12202, 4.0),\n",
       "              (7842, 5.0),\n",
       "              (4641, 4.0),\n",
       "              (9893, 3.0),\n",
       "              (424, 5.0),\n",
       "              (6474, 5.0),\n",
       "              (18756, 4.0),\n",
       "              (9816, 5.0),\n",
       "              (1047, 4.0),\n",
       "              (17053, 2.0),\n",
       "              (7679, 4.0),\n",
       "              (15072, 5.0),\n",
       "              (11807, 3.0),\n",
       "              (18249, 1.0),\n",
       "              (14555, 4.0),\n",
       "              (18045, 4.0),\n",
       "              (13863, 2.0),\n",
       "              (17101, 5.0),\n",
       "              (17022, 3.0),\n",
       "              (6559, 3.0),\n",
       "              (19330, 4.0),\n",
       "              (10073, 3.0),\n",
       "              (20596, 3.0),\n",
       "              (3228, 4.0),\n",
       "              (10092, 4.0),\n",
       "              (17115, 5.0),\n",
       "              (10862, 5.0),\n",
       "              (14895, 3.0)],\n",
       "             651: [(8020, 4.0), (16437, 5.0), (9857, 5.0), (8051, 5.0)],\n",
       "             652: [(2361, 4.0), (7311, 5.0), (9680, 4.0)],\n",
       "             653: [(8743, 5.0), (8941, 5.0), (225, 5.0)],\n",
       "             654: [(9901, 4.0), (7994, 5.0), (17743, 5.0)],\n",
       "             655: [(19373, 4.0),\n",
       "              (14957, 5.0),\n",
       "              (9872, 4.0),\n",
       "              (4543, 3.0),\n",
       "              (1283, 4.0),\n",
       "              (5522, 5.0)],\n",
       "             656: [(16623, 5.0), (13702, 5.0), (5877, 4.0)],\n",
       "             657: [(2435, 4.0), (1390, 3.0), (16796, 4.0), (14003, 1.0)],\n",
       "             658: [(12324, 4.0),\n",
       "              (10886, 5.0),\n",
       "              (10686, 5.0),\n",
       "              (6202, 4.0),\n",
       "              (2187, 3.0)],\n",
       "             659: [(20332, 4.0),\n",
       "              (2194, 4.0),\n",
       "              (14070, 5.0),\n",
       "              (15202, 4.0),\n",
       "              (2208, 4.0),\n",
       "              (10426, 4.0),\n",
       "              (18754, 4.0),\n",
       "              (285, 5.0),\n",
       "              (20329, 3.0),\n",
       "              (20198, 4.0),\n",
       "              (9366, 3.0),\n",
       "              (2221, 3.0),\n",
       "              (19923, 4.0),\n",
       "              (4032, 5.0),\n",
       "              (9981, 3.0),\n",
       "              (1177, 3.0),\n",
       "              (21260, 3.0),\n",
       "              (15291, 4.0)],\n",
       "             660: [(20983, 4.0),\n",
       "              (18720, 5.0),\n",
       "              (6119, 4.0),\n",
       "              (1180, 3.0),\n",
       "              (9583, 5.0),\n",
       "              (12988, 5.0),\n",
       "              (15329, 3.0),\n",
       "              (7434, 5.0),\n",
       "              (12429, 5.0)],\n",
       "             661: [(14139, 3.0),\n",
       "              (16979, 5.0),\n",
       "              (11779, 5.0),\n",
       "              (690, 4.0),\n",
       "              (2335, 5.0),\n",
       "              (11064, 4.0),\n",
       "              (3833, 3.0),\n",
       "              (14917, 3.0)],\n",
       "             662: [(3257, 3.0),\n",
       "              (10245, 3.0),\n",
       "              (12706, 4.0),\n",
       "              (11802, 5.0),\n",
       "              (17952, 3.0),\n",
       "              (14640, 2.0),\n",
       "              (19325, 4.0),\n",
       "              (18912, 4.0)],\n",
       "             663: [(250, 4.0),\n",
       "              (18895, 4.0),\n",
       "              (2841, 3.0),\n",
       "              (5403, 2.0),\n",
       "              (7917, 4.0)],\n",
       "             664: [(7354, 3.0),\n",
       "              (15186, 2.0),\n",
       "              (20551, 4.0),\n",
       "              (8685, 3.0),\n",
       "              (12865, 1.0),\n",
       "              (17846, 4.0),\n",
       "              (12948, 3.0)],\n",
       "             665: [(13607, 4.0),\n",
       "              (5666, 5.0),\n",
       "              (6346, 4.0),\n",
       "              (16767, 3.0),\n",
       "              (16134, 4.0),\n",
       "              (10570, 3.0)],\n",
       "             666: [(15319, 4.0),\n",
       "              (2079, 5.0),\n",
       "              (6218, 2.0),\n",
       "              (4061, 4.0),\n",
       "              (13370, 4.0)],\n",
       "             667: [(7060, 4.0), (2855, 5.0), (11943, 4.0), (6208, 5.0)],\n",
       "             668: [(19057, 4.0),\n",
       "              (12940, 2.0),\n",
       "              (10147, 3.0),\n",
       "              (7955, 3.0),\n",
       "              (4468, 4.0),\n",
       "              (13853, 5.0),\n",
       "              (20482, 4.0),\n",
       "              (14337, 4.0)],\n",
       "             669: [(7910, 5.0), (3792, 5.0), (15523, 4.0), (2219, 5.0)],\n",
       "             670: [(12961, 4.0),\n",
       "              (2968, 4.0),\n",
       "              (1402, 3.0),\n",
       "              (1538, 4.0),\n",
       "              (16077, 4.0),\n",
       "              (16663, 4.0)],\n",
       "             671: [(17751, 4.0),\n",
       "              (4693, 4.0),\n",
       "              (8131, 5.0),\n",
       "              (9859, 5.0),\n",
       "              (15658, 4.0)],\n",
       "             672: [(2570, 4.0),\n",
       "              (16686, 4.0),\n",
       "              (7703, 3.0),\n",
       "              (16932, 5.0),\n",
       "              (9775, 3.0),\n",
       "              (2168, 4.0),\n",
       "              (5676, 3.0),\n",
       "              (17262, 3.0),\n",
       "              (1500, 4.0),\n",
       "              (3183, 3.0),\n",
       "              (18830, 2.0),\n",
       "              (12046, 5.0),\n",
       "              (509, 5.0),\n",
       "              (19378, 4.0),\n",
       "              (3624, 5.0),\n",
       "              (17951, 5.0),\n",
       "              (13082, 4.0),\n",
       "              (15247, 3.0),\n",
       "              (15188, 3.0),\n",
       "              (11012, 4.0),\n",
       "              (11214, 3.0),\n",
       "              (4035, 2.0),\n",
       "              (7912, 4.0),\n",
       "              (7115, 3.0),\n",
       "              (16368, 4.0),\n",
       "              (1945, 5.0),\n",
       "              (17804, 1.0),\n",
       "              (3790, 4.0),\n",
       "              (9119, 4.0),\n",
       "              (13891, 4.0)],\n",
       "             673: [(1538, 4.0),\n",
       "              (10550, 4.0),\n",
       "              (16603, 5.0),\n",
       "              (13147, 4.0),\n",
       "              (6954, 4.0),\n",
       "              (16325, 3.0),\n",
       "              (9913, 4.0),\n",
       "              (11848, 4.0),\n",
       "              (12174, 4.0),\n",
       "              (12017, 3.0),\n",
       "              (14717, 5.0),\n",
       "              (20545, 4.0),\n",
       "              (15145, 4.0),\n",
       "              (1632, 5.0),\n",
       "              (19602, 3.0)],\n",
       "             674: [(13743, 5.0),\n",
       "              (9776, 5.0),\n",
       "              (13647, 5.0),\n",
       "              (7921, 5.0),\n",
       "              (10178, 5.0),\n",
       "              (9633, 4.0),\n",
       "              (5790, 4.0),\n",
       "              (9436, 5.0)],\n",
       "             675: [(15288, 5.0), (14765, 4.0), (5720, 5.0), (1079, 4.0)],\n",
       "             676: [(21121, 2.0),\n",
       "              (8280, 4.0),\n",
       "              (20854, 3.0),\n",
       "              (19397, 4.0),\n",
       "              (2757, 4.0),\n",
       "              (189, 3.0),\n",
       "              (1320, 3.0),\n",
       "              (620, 3.0)],\n",
       "             677: [(550, 4.0),\n",
       "              (20733, 4.0),\n",
       "              (7228, 4.0),\n",
       "              (12280, 3.0),\n",
       "              (15490, 4.0),\n",
       "              (1228, 5.0),\n",
       "              (13023, 4.0)],\n",
       "             678: [(6936, 5.0),\n",
       "              (8791, 5.0),\n",
       "              (15261, 4.0),\n",
       "              (18643, 5.0),\n",
       "              (11120, 5.0),\n",
       "              (18206, 5.0),\n",
       "              (15473, 5.0),\n",
       "              (17438, 5.0)],\n",
       "             679: [(17557, 5.0),\n",
       "              (5723, 5.0),\n",
       "              (10610, 5.0),\n",
       "              (4953, 5.0),\n",
       "              (1297, 5.0)],\n",
       "             680: [(12042, 4.0),\n",
       "              (19164, 4.0),\n",
       "              (13564, 4.0),\n",
       "              (14468, 4.0),\n",
       "              (635, 4.0),\n",
       "              (12084, 4.0),\n",
       "              (9410, 4.0),\n",
       "              (4740, 4.0)],\n",
       "             681: [(12415, 5.0), (17688, 5.0), (17346, 5.0), (8137, 5.0)],\n",
       "             682: [(1596, 4.0), (12573, 5.0), (19600, 4.0)],\n",
       "             683: [(6887, 5.0), (12398, 3.0), (20527, 4.0), (15812, 5.0)],\n",
       "             684: [(3496, 2.0),\n",
       "              (16933, 5.0),\n",
       "              (4924, 5.0),\n",
       "              (9893, 5.0),\n",
       "              (18541, 5.0),\n",
       "              (15841, 3.0),\n",
       "              (11567, 4.0),\n",
       "              (7420, 4.0)],\n",
       "             685: [(617, 4.0), (20515, 5.0), (12540, 5.0), (15601, 5.0)],\n",
       "             686: [(5163, 4.0), (6319, 5.0), (1593, 3.0), (242, 4.0)],\n",
       "             687: [(6186, 5.0),\n",
       "              (19798, 5.0),\n",
       "              (8476, 5.0),\n",
       "              (11102, 3.0),\n",
       "              (14437, 4.0),\n",
       "              (13301, 5.0),\n",
       "              (10124, 4.0),\n",
       "              (12508, 4.0),\n",
       "              (10328, 4.0),\n",
       "              (622, 3.0),\n",
       "              (9960, 4.0)],\n",
       "             688: [(13458, 4.0),\n",
       "              (2509, 5.0),\n",
       "              (17079, 4.0),\n",
       "              (107, 4.0),\n",
       "              (20784, 4.0),\n",
       "              (10190, 5.0),\n",
       "              (186, 5.0)],\n",
       "             689: [(5197, 4.0), (1169, 4.0)],\n",
       "             690: [(19812, 4.0),\n",
       "              (7828, 2.0),\n",
       "              (1795, 5.0),\n",
       "              (7371, 2.0),\n",
       "              (13495, 4.0),\n",
       "              (4016, 5.0),\n",
       "              (894, 3.0),\n",
       "              (9473, 2.0)],\n",
       "             691: [(7028, 5.0), (715, 5.0), (5551, 4.0)],\n",
       "             692: [(17699, 4.0),\n",
       "              (14641, 5.0),\n",
       "              (1958, 2.0),\n",
       "              (12203, 3.0),\n",
       "              (9585, 5.0)],\n",
       "             693: [(13629, 4.0), (13946, 4.0), (12220, 3.0)],\n",
       "             694: [(11277, 5.0),\n",
       "              (6252, 5.0),\n",
       "              (17550, 5.0),\n",
       "              (19551, 5.0),\n",
       "              (4918, 5.0),\n",
       "              (9321, 5.0),\n",
       "              (11052, 5.0)],\n",
       "             695: [(6513, 2.0), (20132, 3.0), (6980, 5.0)],\n",
       "             696: [(1030, 4.0),\n",
       "              (9507, 5.0),\n",
       "              (20912, 5.0),\n",
       "              (2042, 5.0),\n",
       "              (6069, 5.0)],\n",
       "             697: [(15120, 4.0),\n",
       "              (1626, 3.0),\n",
       "              (13152, 4.0),\n",
       "              (12223, 3.0),\n",
       "              (12308, 4.0),\n",
       "              (7164, 4.0)],\n",
       "             698: [(20947, 4.0), (8540, 5.0), (3078, 3.0)],\n",
       "             699: [(11255, 3.0),\n",
       "              (2061, 3.0),\n",
       "              (2944, 4.0),\n",
       "              (2276, 3.0),\n",
       "              (9860, 5.0)],\n",
       "             700: [(13412, 4.0),\n",
       "              (2441, 4.0),\n",
       "              (20368, 5.0),\n",
       "              (7958, 5.0),\n",
       "              (17000, 4.0),\n",
       "              (13532, 4.0),\n",
       "              (2324, 4.0),\n",
       "              (286, 4.0),\n",
       "              (18017, 3.0),\n",
       "              (21276, 5.0),\n",
       "              (2824, 5.0),\n",
       "              (2112, 4.0),\n",
       "              (12857, 4.0),\n",
       "              (13312, 3.0),\n",
       "              (17172, 4.0),\n",
       "              (3818, 3.0),\n",
       "              (17553, 4.0),\n",
       "              (17873, 4.0),\n",
       "              (14961, 4.0),\n",
       "              (1692, 4.0),\n",
       "              (1189, 5.0),\n",
       "              (11936, 5.0),\n",
       "              (12038, 4.0),\n",
       "              (103, 4.0),\n",
       "              (7502, 3.0),\n",
       "              (15030, 5.0)],\n",
       "             701: [(2830, 5.0),\n",
       "              (6853, 4.0),\n",
       "              (18905, 3.0),\n",
       "              (7946, 4.0),\n",
       "              (9524, 5.0),\n",
       "              (2062, 5.0),\n",
       "              (13465, 3.0)],\n",
       "             702: [(2487, 4.0), (8427, 4.0), (2385, 4.0), (12161, 4.0)],\n",
       "             703: [(13474, 4.0),\n",
       "              (9506, 3.0),\n",
       "              (4500, 2.0),\n",
       "              (857, 3.0),\n",
       "              (8184, 3.0),\n",
       "              (2328, 2.0),\n",
       "              (7624, 3.0)],\n",
       "             704: [(13459, 3.0),\n",
       "              (11672, 4.0),\n",
       "              (15176, 4.0),\n",
       "              (15917, 4.0),\n",
       "              (1841, 5.0)],\n",
       "             705: [(5073, 2.0), (16486, 5.0), (15121, 5.0), (4572, 4.0)],\n",
       "             706: [(10128, 5.0),\n",
       "              (20866, 5.0),\n",
       "              (4544, 3.0),\n",
       "              (9431, 3.0),\n",
       "              (15428, 4.0),\n",
       "              (14365, 5.0),\n",
       "              (8975, 2.0),\n",
       "              (18038, 4.0),\n",
       "              (17255, 5.0),\n",
       "              (5365, 5.0),\n",
       "              (8642, 5.0),\n",
       "              (18298, 4.0),\n",
       "              (18268, 4.0),\n",
       "              (3309, 5.0),\n",
       "              (12144, 4.0),\n",
       "              (12635, 4.0),\n",
       "              (9093, 4.0),\n",
       "              (10815, 4.0),\n",
       "              (14733, 3.0)],\n",
       "             707: [(14932, 5.0), (2254, 5.0), (4470, 5.0), (6162, 4.0)],\n",
       "             708: [(8469, 5.0),\n",
       "              (1248, 5.0),\n",
       "              (16986, 5.0),\n",
       "              (3296, 5.0),\n",
       "              (9895, 4.0),\n",
       "              (11233, 5.0),\n",
       "              (18981, 5.0)],\n",
       "             709: [(19, 5.0),\n",
       "              (13639, 5.0),\n",
       "              (20024, 5.0),\n",
       "              (6317, 5.0),\n",
       "              (9631, 5.0)],\n",
       "             710: [(5304, 5.0),\n",
       "              (1644, 5.0),\n",
       "              (3137, 5.0),\n",
       "              (6675, 5.0),\n",
       "              (17094, 5.0),\n",
       "              (11207, 3.0),\n",
       "              (6852, 5.0)],\n",
       "             711: [(20644, 5.0),\n",
       "              (19270, 5.0),\n",
       "              (6112, 5.0),\n",
       "              (18786, 5.0),\n",
       "              (13507, 5.0)],\n",
       "             712: [(18456, 4.0),\n",
       "              (16978, 5.0),\n",
       "              (1258, 4.0),\n",
       "              (3586, 5.0),\n",
       "              (17389, 5.0),\n",
       "              (10162, 5.0)],\n",
       "             713: [(8740, 4.0),\n",
       "              (11914, 5.0),\n",
       "              (20623, 4.0),\n",
       "              (4562, 3.0),\n",
       "              (15755, 4.0)],\n",
       "             714: [(20406, 3.0),\n",
       "              (12986, 3.0),\n",
       "              (8090, 5.0),\n",
       "              (17369, 4.0),\n",
       "              (11916, 4.0)],\n",
       "             715: [(6461, 2.0), (8700, 4.0), (20705, 5.0)],\n",
       "             716: [(7271, 5.0),\n",
       "              (18266, 5.0),\n",
       "              (20995, 5.0),\n",
       "              (16704, 5.0),\n",
       "              (12527, 4.0)],\n",
       "             717: [(10122, 5.0),\n",
       "              (604, 4.0),\n",
       "              (16732, 5.0),\n",
       "              (9240, 4.0),\n",
       "              (2269, 1.0),\n",
       "              (1734, 4.0),\n",
       "              (20546, 4.0),\n",
       "              (17207, 5.0),\n",
       "              (13952, 4.0)],\n",
       "             718: [(7597, 5.0),\n",
       "              (12931, 5.0),\n",
       "              (17119, 4.0),\n",
       "              (9781, 4.0),\n",
       "              (3265, 5.0),\n",
       "              (2558, 5.0),\n",
       "              (1511, 4.0),\n",
       "              (17012, 4.0),\n",
       "              (19396, 5.0),\n",
       "              (17148, 5.0),\n",
       "              (1651, 4.0),\n",
       "              (1229, 5.0),\n",
       "              (14645, 4.0),\n",
       "              (7926, 5.0),\n",
       "              (3853, 5.0),\n",
       "              (93, 5.0)],\n",
       "             719: [(3555, 3.0), (19071, 5.0), (543, 4.0), (14698, 3.0)],\n",
       "             720: [(21036, 5.0), (20418, 5.0), (10779, 4.0), (19953, 5.0)],\n",
       "             721: [(13515, 3.0),\n",
       "              (11358, 4.0),\n",
       "              (15797, 3.0),\n",
       "              (12183, 4.0),\n",
       "              (21265, 4.0),\n",
       "              (16046, 5.0),\n",
       "              (6119, 4.0),\n",
       "              (19376, 3.0),\n",
       "              (10564, 3.0),\n",
       "              (13364, 4.0),\n",
       "              (89, 5.0)],\n",
       "             722: [(928, 3.0),\n",
       "              (8091, 5.0),\n",
       "              (1538, 4.0),\n",
       "              (13944, 4.0),\n",
       "              (7883, 5.0),\n",
       "              (19166, 5.0),\n",
       "              (20897, 5.0)],\n",
       "             723: [(9682, 5.0),\n",
       "              (17876, 5.0),\n",
       "              (20028, 5.0),\n",
       "              (7260, 5.0),\n",
       "              (1941, 5.0)],\n",
       "             724: [(18370, 3.0),\n",
       "              (18600, 4.0),\n",
       "              (6805, 4.0),\n",
       "              (17778, 4.0),\n",
       "              (14861, 5.0),\n",
       "              (9345, 5.0),\n",
       "              (14134, 2.0),\n",
       "              (7482, 4.0)],\n",
       "             725: [(14495, 4.0),\n",
       "              (18738, 4.0),\n",
       "              (20465, 4.0),\n",
       "              (13280, 5.0),\n",
       "              (10382, 5.0),\n",
       "              (5839, 4.0),\n",
       "              (16929, 4.0)],\n",
       "             726: [(455, 4.0),\n",
       "              (2928, 4.0),\n",
       "              (19566, 2.0),\n",
       "              (2577, 4.0),\n",
       "              (7060, 4.0),\n",
       "              (727, 4.0)],\n",
       "             727: [(2693, 4.0),\n",
       "              (15301, 4.0),\n",
       "              (15060, 4.0),\n",
       "              (17504, 5.0),\n",
       "              (1829, 5.0),\n",
       "              (7087, 5.0),\n",
       "              (177, 5.0),\n",
       "              (2316, 5.0)],\n",
       "             728: [(10113, 4.0),\n",
       "              (12053, 5.0),\n",
       "              (12150, 3.0),\n",
       "              (18559, 4.0),\n",
       "              (10589, 5.0),\n",
       "              (12146, 5.0),\n",
       "              (6081, 3.0),\n",
       "              (14136, 2.0),\n",
       "              (3836, 5.0),\n",
       "              (4626, 5.0),\n",
       "              (10547, 2.0),\n",
       "              (6981, 3.0)],\n",
       "             729: [(16608, 3.0), (19733, 5.0), (4106, 3.0), (20730, 5.0)],\n",
       "             730: [(7935, 5.0),\n",
       "              (11582, 4.0),\n",
       "              (12863, 5.0),\n",
       "              (2263, 5.0),\n",
       "              (18555, 5.0),\n",
       "              (6217, 4.0),\n",
       "              (8775, 5.0),\n",
       "              (8091, 5.0),\n",
       "              (17081, 5.0),\n",
       "              (13607, 5.0),\n",
       "              (13864, 4.0),\n",
       "              (18080, 4.0),\n",
       "              (12607, 5.0),\n",
       "              (12324, 5.0),\n",
       "              (655, 5.0)],\n",
       "             731: [(16213, 5.0),\n",
       "              (5713, 3.0),\n",
       "              (3700, 4.0),\n",
       "              (17500, 3.0),\n",
       "              (15167, 4.0),\n",
       "              (4816, 3.0)],\n",
       "             732: [(14963, 5.0),\n",
       "              (659, 3.0),\n",
       "              (15586, 5.0),\n",
       "              (14708, 5.0),\n",
       "              (7709, 5.0),\n",
       "              (20040, 5.0),\n",
       "              (2735, 5.0)],\n",
       "             733: [(12577, 5.0), (15660, 4.0), (17411, 4.0), (18583, 5.0)],\n",
       "             734: [(15133, 4.0),\n",
       "              (1425, 4.0),\n",
       "              (12289, 5.0),\n",
       "              (12400, 5.0),\n",
       "              (3313, 4.0),\n",
       "              (16983, 5.0),\n",
       "              (18865, 5.0),\n",
       "              (7778, 5.0)],\n",
       "             735: [(1985, 5.0),\n",
       "              (5824, 4.0),\n",
       "              (9665, 5.0),\n",
       "              (10693, 4.0),\n",
       "              (19517, 5.0)],\n",
       "             736: [(15185, 4.0), (5194, 2.0), (18087, 4.0), (9626, 5.0)],\n",
       "             737: [(8740, 5.0),\n",
       "              (18315, 4.0),\n",
       "              (15046, 4.0),\n",
       "              (10193, 4.0),\n",
       "              (16231, 3.0),\n",
       "              (5017, 3.0),\n",
       "              (842, 3.0),\n",
       "              (6342, 5.0),\n",
       "              (15800, 5.0),\n",
       "              (7430, 4.0),\n",
       "              (16747, 5.0),\n",
       "              (16040, 4.0),\n",
       "              (14034, 4.0),\n",
       "              (4149, 4.0),\n",
       "              (16284, 3.0),\n",
       "              (11946, 5.0),\n",
       "              (13871, 3.0),\n",
       "              (15993, 5.0),\n",
       "              (4562, 3.0)],\n",
       "             738: [(16867, 5.0),\n",
       "              (10693, 5.0),\n",
       "              (20364, 5.0),\n",
       "              (16722, 5.0),\n",
       "              (7569, 5.0),\n",
       "              (17621, 5.0)],\n",
       "             739: [(13646, 5.0),\n",
       "              (19511, 4.0),\n",
       "              (5920, 4.0),\n",
       "              (6841, 4.0),\n",
       "              (11745, 4.0),\n",
       "              (1061, 5.0),\n",
       "              (20970, 4.0)],\n",
       "             740: [(13991, 5.0),\n",
       "              (10405, 5.0),\n",
       "              (8048, 5.0),\n",
       "              (11933, 5.0),\n",
       "              (12406, 5.0),\n",
       "              (899, 4.0),\n",
       "              (20885, 5.0),\n",
       "              (16047, 5.0)],\n",
       "             741: [(3906, 4.0),\n",
       "              (1785, 4.0),\n",
       "              (7126, 5.0),\n",
       "              (15690, 5.0),\n",
       "              (8621, 4.0),\n",
       "              (18338, 3.0),\n",
       "              (5765, 5.0),\n",
       "              (4103, 5.0),\n",
       "              (6936, 5.0),\n",
       "              (16169, 4.0),\n",
       "              (10717, 4.0),\n",
       "              (10381, 5.0),\n",
       "              (4112, 5.0),\n",
       "              (11910, 5.0),\n",
       "              (7306, 4.0),\n",
       "              (2095, 4.0),\n",
       "              (20908, 3.0)],\n",
       "             742: [(7388, 5.0),\n",
       "              (16358, 5.0),\n",
       "              (20807, 5.0),\n",
       "              (19383, 4.0),\n",
       "              (7614, 5.0)],\n",
       "             743: [(18909, 4.0),\n",
       "              (9493, 4.0),\n",
       "              (15487, 5.0),\n",
       "              (4360, 3.0),\n",
       "              (1685, 4.0),\n",
       "              (8069, 5.0),\n",
       "              (16937, 3.0)],\n",
       "             744: [(5007, 5.0), (7572, 5.0), (19442, 4.0), (20910, 3.0)],\n",
       "             745: [(19299, 5.0),\n",
       "              (12040, 5.0),\n",
       "              (213, 5.0),\n",
       "              (9387, 5.0),\n",
       "              (21075, 5.0),\n",
       "              (20499, 4.0)],\n",
       "             746: [(5350, 5.0), (8040, 4.0)],\n",
       "             747: [(20444, 4.0),\n",
       "              (12196, 4.0),\n",
       "              (3518, 5.0),\n",
       "              (1752, 4.0),\n",
       "              (4175, 4.0)],\n",
       "             748: [(17734, 5.0),\n",
       "              (19768, 4.0),\n",
       "              (15286, 3.0),\n",
       "              (655, 4.0),\n",
       "              (21142, 4.0),\n",
       "              (13917, 4.0),\n",
       "              (19935, 4.0),\n",
       "              (12918, 4.0),\n",
       "              (16632, 4.0),\n",
       "              (242, 4.0)],\n",
       "             749: [(18525, 4.0),\n",
       "              (2880, 3.0),\n",
       "              (3986, 3.0),\n",
       "              (2091, 3.0),\n",
       "              (15054, 3.0),\n",
       "              (4635, 4.0),\n",
       "              (16785, 4.0),\n",
       "              (9084, 4.0),\n",
       "              (15298, 4.0),\n",
       "              (19079, 4.0),\n",
       "              (15840, 3.0),\n",
       "              (2142, 3.0),\n",
       "              (19589, 3.0),\n",
       "              (10496, 4.0),\n",
       "              (5818, 4.0),\n",
       "              (7335, 3.0),\n",
       "              (1184, 4.0),\n",
       "              (6657, 4.0),\n",
       "              (18422, 3.0),\n",
       "              (8443, 3.0),\n",
       "              (3030, 4.0),\n",
       "              (16255, 4.0),\n",
       "              (4185, 3.0)],\n",
       "             750: [(7600, 4.0), (1353, 5.0), (19084, 4.0)],\n",
       "             751: [(6137, 5.0),\n",
       "              (12058, 5.0),\n",
       "              (965, 3.0),\n",
       "              (5682, 4.0),\n",
       "              (9194, 3.0),\n",
       "              (5903, 3.0),\n",
       "              (17175, 5.0)],\n",
       "             752: [(7348, 5.0), (337, 5.0), (20656, 5.0), (15248, 4.0)],\n",
       "             753: [(15287, 5.0), (401, 3.0), (19361, 5.0), (2705, 5.0)],\n",
       "             754: [(21141, 5.0),\n",
       "              (1108, 2.0),\n",
       "              (18438, 5.0),\n",
       "              (10784, 1.0),\n",
       "              (9348, 1.0),\n",
       "              (13748, 4.0),\n",
       "              (4945, 1.0),\n",
       "              (17863, 3.0),\n",
       "              (10550, 3.0),\n",
       "              (1890, 1.0),\n",
       "              (9913, 1.0)],\n",
       "             755: [(2256, 5.0), (8305, 4.0), (6069, 4.0), (16144, 4.0)],\n",
       "             756: [(7719, 5.0),\n",
       "              (14722, 5.0),\n",
       "              (18157, 5.0),\n",
       "              (19705, 5.0),\n",
       "              (19247, 5.0),\n",
       "              (4563, 5.0),\n",
       "              (8155, 3.0),\n",
       "              (6239, 5.0),\n",
       "              (14542, 5.0),\n",
       "              (134, 5.0),\n",
       "              (12599, 5.0),\n",
       "              (6469, 4.0),\n",
       "              (2184, 5.0),\n",
       "              (5585, 5.0),\n",
       "              (8015, 3.0)],\n",
       "             757: [(9518, 5.0),\n",
       "              (20304, 3.0),\n",
       "              (13436, 4.0),\n",
       "              (18810, 4.0),\n",
       "              (10482, 4.0)],\n",
       "             758: [(20815, 5.0),\n",
       "              (4932, 4.0),\n",
       "              (11621, 3.0),\n",
       "              (19792, 4.0),\n",
       "              (20718, 4.0),\n",
       "              (3104, 4.0)],\n",
       "             759: [(10360, 2.0),\n",
       "              (15141, 5.0),\n",
       "              (17892, 5.0),\n",
       "              (17450, 5.0),\n",
       "              (20148, 4.0)],\n",
       "             760: [(14262, 5.0),\n",
       "              (12548, 5.0),\n",
       "              (219, 4.0),\n",
       "              (17417, 5.0),\n",
       "              (6741, 4.0),\n",
       "              (18861, 5.0)],\n",
       "             761: [(2429, 5.0),\n",
       "              (2222, 5.0),\n",
       "              (10958, 3.0),\n",
       "              (8938, 5.0),\n",
       "              (9092, 5.0),\n",
       "              (14557, 3.0)],\n",
       "             762: [(4120, 5.0), (14571, 5.0), (2951, 5.0), (20081, 5.0)],\n",
       "             763: [(12685, 3.0), (6954, 5.0), (4858, 5.0)],\n",
       "             764: [(20309, 5.0), (6556, 3.0), (20936, 4.0), (18605, 3.0)],\n",
       "             765: [(20356, 4.0),\n",
       "              (10826, 4.0),\n",
       "              (13124, 4.0),\n",
       "              (15926, 4.0),\n",
       "              (8269, 5.0),\n",
       "              (11654, 4.0),\n",
       "              (4528, 3.0),\n",
       "              (19513, 4.0),\n",
       "              (19908, 3.0),\n",
       "              (157, 5.0),\n",
       "              (4414, 4.0),\n",
       "              (9145, 5.0),\n",
       "              (5882, 2.0),\n",
       "              (10725, 5.0)],\n",
       "             766: [(3929, 4.0),\n",
       "              (19523, 4.0),\n",
       "              (9413, 5.0),\n",
       "              (7141, 3.0),\n",
       "              (4064, 4.0),\n",
       "              (10436, 3.0),\n",
       "              (15175, 4.0),\n",
       "              (11806, 4.0)],\n",
       "             767: [(18956, 5.0),\n",
       "              (1459, 4.0),\n",
       "              (19613, 2.0),\n",
       "              (18272, 5.0),\n",
       "              (12078, 4.0)],\n",
       "             768: [(5120, 3.0),\n",
       "              (10102, 5.0),\n",
       "              (3783, 5.0),\n",
       "              (8649, 5.0),\n",
       "              (14581, 5.0),\n",
       "              (4935, 5.0),\n",
       "              (8506, 4.0),\n",
       "              (9012, 4.0)],\n",
       "             769: [(15718, 5.0),\n",
       "              (9761, 5.0),\n",
       "              (19660, 5.0),\n",
       "              (20351, 4.0),\n",
       "              (17490, 5.0)],\n",
       "             770: [(63, 4.0),\n",
       "              (10006, 4.0),\n",
       "              (20717, 4.0),\n",
       "              (4584, 3.0),\n",
       "              (19513, 4.0),\n",
       "              (18, 3.0),\n",
       "              (8365, 3.0),\n",
       "              (5038, 4.0),\n",
       "              (16005, 3.0),\n",
       "              (19161, 4.0),\n",
       "              (21061, 3.0)],\n",
       "             771: [(9819, 4.0),\n",
       "              (8469, 5.0),\n",
       "              (16973, 5.0),\n",
       "              (14248, 5.0),\n",
       "              (3246, 5.0),\n",
       "              (12431, 5.0),\n",
       "              (6958, 5.0),\n",
       "              (256, 5.0),\n",
       "              (6608, 5.0),\n",
       "              (17272, 5.0)],\n",
       "             772: [(9847, 4.0),\n",
       "              (339, 4.0),\n",
       "              (5207, 2.0),\n",
       "              (17740, 2.0),\n",
       "              (12891, 4.0),\n",
       "              (19567, 5.0),\n",
       "              (11502, 3.0)],\n",
       "             773: [(1566, 5.0),\n",
       "              (8822, 5.0),\n",
       "              (19618, 2.0),\n",
       "              (9927, 4.0),\n",
       "              (14260, 5.0)],\n",
       "             774: [(9184, 4.0),\n",
       "              (15950, 4.0),\n",
       "              (12612, 4.0),\n",
       "              (12645, 4.0),\n",
       "              (16063, 4.0)],\n",
       "             775: [(18982, 5.0),\n",
       "              (3169, 5.0),\n",
       "              (17988, 4.0),\n",
       "              (11248, 4.0),\n",
       "              (2037, 4.0),\n",
       "              (17819, 5.0)],\n",
       "             776: [(2248, 5.0),\n",
       "              (13536, 5.0),\n",
       "              (15197, 5.0),\n",
       "              (21075, 5.0),\n",
       "              (5587, 5.0),\n",
       "              (14065, 5.0),\n",
       "              (3061, 5.0),\n",
       "              (135, 5.0),\n",
       "              (2183, 5.0)],\n",
       "             777: [(329, 3.0),\n",
       "              (19945, 4.0),\n",
       "              (13428, 4.0),\n",
       "              (8103, 4.0),\n",
       "              (2815, 4.0),\n",
       "              (6418, 3.0),\n",
       "              (5867, 2.0),\n",
       "              (15707, 4.0)],\n",
       "             778: [(9020, 5.0), (7371, 4.0), (1022, 5.0), (18049, 5.0)],\n",
       "             779: [(739, 5.0),\n",
       "              (15820, 5.0),\n",
       "              (3296, 5.0),\n",
       "              (4873, 5.0),\n",
       "              (5672, 5.0),\n",
       "              (10602, 5.0),\n",
       "              (9276, 5.0)],\n",
       "             780: [(5625, 3.0),\n",
       "              (2750, 4.0),\n",
       "              (19969, 5.0),\n",
       "              (6254, 5.0),\n",
       "              (6113, 4.0),\n",
       "              (14826, 3.0),\n",
       "              (13086, 4.0),\n",
       "              (14808, 4.0),\n",
       "              (10155, 4.0),\n",
       "              (3021, 3.0),\n",
       "              (17398, 5.0),\n",
       "              (15031, 5.0),\n",
       "              (19291, 5.0),\n",
       "              (18706, 3.0),\n",
       "              (7107, 4.0),\n",
       "              (2480, 3.0),\n",
       "              (17172, 5.0),\n",
       "              (12240, 5.0),\n",
       "              (16428, 5.0),\n",
       "              (16291, 3.0),\n",
       "              (8243, 4.0),\n",
       "              (13657, 5.0),\n",
       "              (13127, 5.0),\n",
       "              (9884, 4.0),\n",
       "              (18488, 4.0),\n",
       "              (20797, 2.0),\n",
       "              (3476, 5.0),\n",
       "              (5407, 5.0),\n",
       "              (2283, 4.0),\n",
       "              (934, 3.0),\n",
       "              (11490, 4.0),\n",
       "              (4937, 3.0),\n",
       "              (8485, 2.0),\n",
       "              (10354, 3.0),\n",
       "              (17552, 4.0),\n",
       "              (19482, 4.0),\n",
       "              (11240, 5.0),\n",
       "              (17949, 3.0),\n",
       "              (9711, 2.0),\n",
       "              (20552, 5.0)],\n",
       "             781: [(659, 5.0),\n",
       "              (7031, 5.0),\n",
       "              (20208, 4.0),\n",
       "              (16156, 5.0),\n",
       "              (10883, 5.0),\n",
       "              (14708, 4.0),\n",
       "              (16559, 5.0),\n",
       "              (3523, 5.0)],\n",
       "             782: [(973, 5.0), (8320, 4.0), (15225, 5.0)],\n",
       "             783: [(1949, 5.0),\n",
       "              (18686, 4.0),\n",
       "              (15469, 5.0),\n",
       "              (6308, 2.0),\n",
       "              (17664, 3.0),\n",
       "              (17354, 5.0),\n",
       "              (14138, 5.0)],\n",
       "             784: [(11555, 3.0),\n",
       "              (7876, 4.0),\n",
       "              (19926, 4.0),\n",
       "              (6835, 3.0),\n",
       "              (2194, 4.0),\n",
       "              (18507, 4.0),\n",
       "              (3425, 3.0),\n",
       "              (16017, 2.0),\n",
       "              (18443, 5.0)],\n",
       "             785: [(17159, 5.0), (562, 4.0), (4975, 5.0), (14915, 5.0)],\n",
       "             786: [(18652, 4.0),\n",
       "              (97, 5.0),\n",
       "              (5210, 4.0),\n",
       "              (2509, 3.0),\n",
       "              (18578, 4.0),\n",
       "              (14157, 5.0),\n",
       "              (5580, 5.0),\n",
       "              (231, 4.0),\n",
       "              (11406, 3.0),\n",
       "              (5765, 4.0),\n",
       "              (14802, 4.0),\n",
       "              (16699, 2.0),\n",
       "              (17578, 3.0),\n",
       "              (2207, 5.0),\n",
       "              (17801, 3.0),\n",
       "              (11968, 5.0),\n",
       "              (12306, 3.0),\n",
       "              (20044, 3.0),\n",
       "              (16630, 5.0),\n",
       "              (12449, 4.0),\n",
       "              (5645, 4.0),\n",
       "              (19469, 3.0),\n",
       "              (4761, 5.0),\n",
       "              (12194, 3.0),\n",
       "              (14888, 4.0),\n",
       "              (16802, 4.0),\n",
       "              (8456, 4.0),\n",
       "              (12756, 5.0),\n",
       "              (18580, 4.0),\n",
       "              (16891, 4.0),\n",
       "              (2797, 5.0),\n",
       "              (2463, 4.0),\n",
       "              (2546, 4.0),\n",
       "              (8459, 3.0),\n",
       "              (15378, 4.0),\n",
       "              (9662, 5.0)],\n",
       "             787: [(2731, 2.0), (9583, 4.0), (15602, 3.0)],\n",
       "             788: [(5179, 5.0), (3234, 5.0), (18302, 5.0), (1780, 5.0)],\n",
       "             789: [(3961, 5.0),\n",
       "              (18750, 5.0),\n",
       "              (5678, 5.0),\n",
       "              (20324, 5.0),\n",
       "              (7727, 5.0),\n",
       "              (3542, 5.0),\n",
       "              (19412, 5.0),\n",
       "              (3150, 5.0),\n",
       "              (17711, 5.0),\n",
       "              (1048, 5.0),\n",
       "              (8098, 5.0)],\n",
       "             790: [(5597, 5.0),\n",
       "              (11213, 5.0),\n",
       "              (2757, 5.0),\n",
       "              (19397, 4.0),\n",
       "              (16397, 5.0)],\n",
       "             791: [(1538, 3.0),\n",
       "              (12691, 4.0),\n",
       "              (20120, 4.0),\n",
       "              (13898, 3.0),\n",
       "              (6245, 5.0),\n",
       "              (14253, 4.0)],\n",
       "             792: [(17748, 5.0),\n",
       "              (7961, 5.0),\n",
       "              (14627, 4.0),\n",
       "              (9939, 4.0),\n",
       "              (5003, 5.0)],\n",
       "             793: [(1747, 5.0),\n",
       "              (17074, 2.0),\n",
       "              (1962, 5.0),\n",
       "              (9012, 5.0),\n",
       "              (8185, 5.0)],\n",
       "             794: [(5400, 5.0),\n",
       "              (9457, 3.0),\n",
       "              (13657, 5.0),\n",
       "              (15339, 4.0),\n",
       "              (430, 5.0)],\n",
       "             795: [(16134, 5.0),\n",
       "              (13607, 5.0),\n",
       "              (6245, 5.0),\n",
       "              (14957, 4.0),\n",
       "              (8380, 5.0),\n",
       "              (14262, 4.0),\n",
       "              (9243, 4.0),\n",
       "              (1951, 3.0),\n",
       "              (8178, 5.0),\n",
       "              (13483, 4.0),\n",
       "              (691, 3.0),\n",
       "              (15095, 5.0),\n",
       "              (955, 5.0)],\n",
       "             796: [(14396, 4.0),\n",
       "              (18161, 5.0),\n",
       "              (14422, 4.0),\n",
       "              (7115, 4.0),\n",
       "              (1091, 5.0),\n",
       "              (2254, 5.0)],\n",
       "             797: [(2868, 3.0),\n",
       "              (6430, 5.0),\n",
       "              (10230, 1.0),\n",
       "              (12144, 1.0),\n",
       "              (1965, 3.0),\n",
       "              (12001, 5.0)],\n",
       "             798: [(14618, 4.0), (17468, 5.0), (16039, 3.0)],\n",
       "             799: [(19210, 5.0),\n",
       "              (2064, 5.0),\n",
       "              (20708, 5.0),\n",
       "              (13971, 5.0),\n",
       "              (8060, 5.0),\n",
       "              (11494, 5.0),\n",
       "              (1927, 4.0),\n",
       "              (4103, 5.0),\n",
       "              (20749, 5.0)],\n",
       "             800: [(7073, 4.0),\n",
       "              (490, 1.0),\n",
       "              (5765, 5.0),\n",
       "              (3163, 5.0),\n",
       "              (14790, 5.0),\n",
       "              (18793, 4.0),\n",
       "              (16687, 3.0),\n",
       "              (18446, 4.0),\n",
       "              (4168, 5.0),\n",
       "              (9880, 5.0),\n",
       "              (18211, 1.0),\n",
       "              (18638, 4.0)],\n",
       "             801: [(15332, 4.0),\n",
       "              (20971, 4.0),\n",
       "              (3736, 3.0),\n",
       "              (2254, 4.0),\n",
       "              (5766, 3.0),\n",
       "              (1738, 5.0),\n",
       "              (322, 4.0),\n",
       "              (14411, 3.0),\n",
       "              (17554, 5.0),\n",
       "              (20021, 5.0),\n",
       "              (5038, 4.0),\n",
       "              (3468, 4.0),\n",
       "              (15917, 4.0),\n",
       "              (2386, 4.0),\n",
       "              (18564, 4.0),\n",
       "              (3756, 4.0)],\n",
       "             802: [(17034, 4.0),\n",
       "              (3287, 3.0),\n",
       "              (20373, 3.0),\n",
       "              (5121, 5.0),\n",
       "              (815, 4.0),\n",
       "              (18346, 5.0),\n",
       "              (20448, 4.0),\n",
       "              (9367, 5.0),\n",
       "              (13390, 2.0),\n",
       "              (10413, 2.0),\n",
       "              (19566, 5.0),\n",
       "              (3472, 3.0),\n",
       "              (6237, 5.0),\n",
       "              (1581, 5.0),\n",
       "              (12811, 4.0),\n",
       "              (6997, 4.0),\n",
       "              (13956, 5.0),\n",
       "              (161, 4.0),\n",
       "              (16684, 5.0),\n",
       "              (1885, 2.0),\n",
       "              (18429, 2.0),\n",
       "              (15021, 3.0),\n",
       "              (6855, 4.0),\n",
       "              (12307, 4.0),\n",
       "              (17635, 3.0),\n",
       "              (4930, 2.0),\n",
       "              (14864, 4.0),\n",
       "              (20029, 4.0),\n",
       "              (4696, 3.0),\n",
       "              (8051, 4.0),\n",
       "              (2766, 4.0),\n",
       "              (3016, 4.0),\n",
       "              (1656, 4.0),\n",
       "              (19949, 4.0),\n",
       "              (10869, 4.0),\n",
       "              (17008, 4.0),\n",
       "              (7147, 3.0),\n",
       "              (11194, 3.0),\n",
       "              (6582, 4.0),\n",
       "              (18392, 2.0),\n",
       "              (7382, 4.0),\n",
       "              (21223, 2.0),\n",
       "              (3687, 4.0),\n",
       "              (16920, 4.0),\n",
       "              (8033, 3.0),\n",
       "              (17847, 4.0),\n",
       "              (19355, 3.0),\n",
       "              (17884, 4.0),\n",
       "              (3707, 5.0),\n",
       "              (10936, 4.0),\n",
       "              (5939, 3.0),\n",
       "              (7500, 4.0),\n",
       "              (2564, 4.0),\n",
       "              (19629, 4.0),\n",
       "              (21044, 4.0),\n",
       "              (12230, 5.0),\n",
       "              (17830, 3.0),\n",
       "              (8114, 3.0),\n",
       "              (7060, 3.0),\n",
       "              (2156, 3.0),\n",
       "              (11926, 5.0),\n",
       "              (19503, 4.0),\n",
       "              (12790, 4.0),\n",
       "              (7723, 4.0),\n",
       "              (11062, 3.0),\n",
       "              (8311, 3.0),\n",
       "              (516, 4.0),\n",
       "              (19725, 5.0),\n",
       "              (17366, 5.0),\n",
       "              (7069, 3.0),\n",
       "              (19523, 4.0),\n",
       "              (9412, 4.0),\n",
       "              (169, 4.0),\n",
       "              (838, 4.0),\n",
       "              (11944, 4.0),\n",
       "              (18658, 4.0),\n",
       "              (19686, 4.0),\n",
       "              (12991, 5.0),\n",
       "              (19585, 2.0),\n",
       "              (12285, 4.0),\n",
       "              (12658, 2.0),\n",
       "              (7757, 4.0),\n",
       "              (12590, 3.0),\n",
       "              (16072, 3.0),\n",
       "              (15293, 3.0),\n",
       "              (639, 4.0),\n",
       "              (2840, 4.0),\n",
       "              (8020, 1.0),\n",
       "              (5499, 4.0),\n",
       "              (5299, 4.0),\n",
       "              (18851, 4.0)],\n",
       "             803: [(14700, 5.0),\n",
       "              (17494, 4.0),\n",
       "              (10297, 5.0),\n",
       "              (12548, 4.0),\n",
       "              (18540, 5.0)],\n",
       "             804: [(2391, 3.0),\n",
       "              (18535, 5.0),\n",
       "              (10119, 4.0),\n",
       "              (8307, 3.0),\n",
       "              (12569, 4.0),\n",
       "              (5790, 4.0),\n",
       "              (17604, 5.0),\n",
       "              (19836, 4.0)],\n",
       "             805: [(17748, 5.0), (6917, 4.0), (19235, 4.0)],\n",
       "             806: [(10624, 5.0),\n",
       "              (12150, 5.0),\n",
       "              (5491, 5.0),\n",
       "              (19384, 5.0),\n",
       "              (4495, 4.0),\n",
       "              (8710, 5.0),\n",
       "              (12925, 5.0)],\n",
       "             807: [(1169, 2.0), (9242, 4.0), (5197, 4.0), (4818, 2.0)],\n",
       "             808: [(18070, 5.0),\n",
       "              (19352, 4.0),\n",
       "              (18580, 4.0),\n",
       "              (6526, 4.0),\n",
       "              (19646, 2.0)],\n",
       "             809: [(11732, 5.0),\n",
       "              (13979, 5.0),\n",
       "              (6245, 5.0),\n",
       "              (10275, 4.0),\n",
       "              (4955, 5.0),\n",
       "              (691, 5.0),\n",
       "              (12548, 4.0),\n",
       "              (6458, 5.0),\n",
       "              (10764, 4.0),\n",
       "              (2263, 4.0),\n",
       "              (8927, 5.0),\n",
       "              (325, 4.0),\n",
       "              (1634, 5.0),\n",
       "              (14090, 4.0),\n",
       "              (5154, 5.0),\n",
       "              (16144, 5.0),\n",
       "              (672, 5.0),\n",
       "              (15266, 5.0),\n",
       "              (6140, 5.0),\n",
       "              (21144, 5.0),\n",
       "              (18204, 3.0),\n",
       "              (18099, 4.0),\n",
       "              (13702, 5.0),\n",
       "              (7801, 5.0),\n",
       "              (4391, 5.0),\n",
       "              (14438, 5.0),\n",
       "              (12611, 4.0),\n",
       "              (18342, 5.0),\n",
       "              (9829, 4.0),\n",
       "              (16011, 3.0),\n",
       "              (13083, 5.0),\n",
       "              (2697, 4.0),\n",
       "              (20045, 5.0),\n",
       "              (15011, 4.0),\n",
       "              (15186, 5.0),\n",
       "              (12178, 4.0),\n",
       "              (19192, 4.0),\n",
       "              (3940, 4.0),\n",
       "              (13059, 5.0),\n",
       "              (14492, 5.0),\n",
       "              (11747, 5.0),\n",
       "              (17417, 5.0),\n",
       "              (6954, 4.0),\n",
       "              (2478, 3.0),\n",
       "              (17734, 4.0),\n",
       "              (18710, 4.0),\n",
       "              (12868, 4.0)],\n",
       "             810: [(13775, 5.0),\n",
       "              (16407, 5.0),\n",
       "              (12173, 3.0),\n",
       "              (2475, 4.0),\n",
       "              (19492, 4.0),\n",
       "              (156, 3.0),\n",
       "              (12797, 4.0),\n",
       "              (11117, 5.0),\n",
       "              (3289, 4.0),\n",
       "              (10393, 4.0),\n",
       "              (7952, 4.0),\n",
       "              (20685, 4.0),\n",
       "              (11924, 3.0),\n",
       "              (17231, 5.0),\n",
       "              (545, 4.0),\n",
       "              (21307, 4.0),\n",
       "              (13673, 5.0),\n",
       "              (20977, 5.0),\n",
       "              (12057, 4.0),\n",
       "              (13698, 4.0),\n",
       "              (18072, 5.0),\n",
       "              (11478, 4.0),\n",
       "              (1227, 5.0),\n",
       "              (20840, 4.0),\n",
       "              (12116, 3.0),\n",
       "              (5119, 5.0),\n",
       "              (1557, 4.0),\n",
       "              (10778, 4.0),\n",
       "              (15919, 3.0),\n",
       "              (6320, 4.0),\n",
       "              (19787, 4.0),\n",
       "              (3517, 4.0),\n",
       "              (10653, 4.0),\n",
       "              (4365, 5.0),\n",
       "              (16111, 4.0),\n",
       "              (20631, 5.0),\n",
       "              (20629, 4.0),\n",
       "              (5674, 5.0),\n",
       "              (17537, 4.0),\n",
       "              (18927, 3.0),\n",
       "              (7932, 4.0),\n",
       "              (11767, 5.0),\n",
       "              (9144, 5.0),\n",
       "              (10648, 5.0),\n",
       "              (7083, 4.0),\n",
       "              (303, 5.0),\n",
       "              (21094, 5.0),\n",
       "              (17101, 5.0),\n",
       "              (17115, 5.0),\n",
       "              (17328, 4.0),\n",
       "              (18180, 5.0),\n",
       "              (5754, 4.0),\n",
       "              (15841, 5.0),\n",
       "              (18484, 5.0),\n",
       "              (2607, 3.0)],\n",
       "             811: [(13414, 3.0),\n",
       "              (2228, 5.0),\n",
       "              (3130, 5.0),\n",
       "              (12962, 5.0),\n",
       "              (7079, 5.0)],\n",
       "             812: [(2036, 4.0),\n",
       "              (20873, 5.0),\n",
       "              (14757, 4.0),\n",
       "              (12070, 5.0),\n",
       "              (14149, 5.0),\n",
       "              (2431, 5.0),\n",
       "              (5737, 5.0),\n",
       "              (2590, 5.0),\n",
       "              (13146, 4.0),\n",
       "              (17351, 4.0)],\n",
       "             813: [(1996, 5.0),\n",
       "              (3788, 4.0),\n",
       "              (4930, 5.0),\n",
       "              (10413, 5.0),\n",
       "              (2196, 5.0),\n",
       "              (18658, 5.0),\n",
       "              (15241, 4.0),\n",
       "              (1656, 5.0),\n",
       "              (3498, 5.0),\n",
       "              (7390, 4.0),\n",
       "              (13956, 4.0),\n",
       "              (12923, 4.0),\n",
       "              (1287, 4.0),\n",
       "              (14285, 5.0)],\n",
       "             814: [(20783, 4.0),\n",
       "              (5857, 5.0),\n",
       "              (4121, 5.0),\n",
       "              (16045, 5.0),\n",
       "              (19314, 5.0),\n",
       "              (9886, 5.0),\n",
       "              (11077, 4.0),\n",
       "              (12477, 4.0),\n",
       "              (3298, 5.0)],\n",
       "             815: [(5213, 3.0),\n",
       "              (13749, 4.0),\n",
       "              (11773, 5.0),\n",
       "              (13782, 5.0),\n",
       "              (17742, 4.0),\n",
       "              (17407, 4.0)],\n",
       "             816: [(20715, 5.0), (11682, 5.0), (12641, 5.0), (6950, 5.0)],\n",
       "             817: [(18133, 4.0),\n",
       "              (19891, 5.0),\n",
       "              (12687, 4.0),\n",
       "              (7103, 5.0),\n",
       "              (9263, 3.0)],\n",
       "             818: [(15048, 3.0),\n",
       "              (8338, 5.0),\n",
       "              (12776, 5.0),\n",
       "              (3516, 5.0),\n",
       "              (5069, 5.0),\n",
       "              (19575, 5.0),\n",
       "              (15431, 5.0)],\n",
       "             819: [(3106, 5.0),\n",
       "              (3586, 5.0),\n",
       "              (3754, 5.0),\n",
       "              (20088, 5.0),\n",
       "              (7520, 5.0),\n",
       "              (19910, 4.0),\n",
       "              (18456, 5.0),\n",
       "              (7567, 5.0)],\n",
       "             820: [(6505, 5.0), (16004, 5.0), (14611, 3.0), (12770, 5.0)],\n",
       "             821: [(8929, 4.0),\n",
       "              (6371, 2.0),\n",
       "              (6567, 5.0),\n",
       "              (18398, 5.0),\n",
       "              (12526, 2.0),\n",
       "              (7121, 3.0),\n",
       "              (1025, 5.0),\n",
       "              (7431, 4.0),\n",
       "              (1776, 2.0),\n",
       "              (7038, 5.0),\n",
       "              (10254, 3.0)],\n",
       "             822: [(18438, 5.0), (12674, 4.0), (18783, 5.0)],\n",
       "             823: [(21186, 5.0),\n",
       "              (10074, 5.0),\n",
       "              (15680, 4.0),\n",
       "              (17272, 5.0),\n",
       "              (18640, 5.0),\n",
       "              (14431, 5.0),\n",
       "              (985, 5.0)],\n",
       "             824: [(15525, 4.0), (5427, 5.0), (20601, 5.0), (18985, 4.0)],\n",
       "             825: [(15950, 3.0),\n",
       "              (12982, 3.0),\n",
       "              (16768, 4.0),\n",
       "              (5143, 4.0),\n",
       "              (1330, 3.0),\n",
       "              (20372, 4.0)],\n",
       "             826: [(3740, 5.0),\n",
       "              (21176, 4.0),\n",
       "              (18247, 5.0),\n",
       "              (6104, 5.0),\n",
       "              (20203, 5.0),\n",
       "              (4339, 5.0),\n",
       "              (17983, 5.0)],\n",
       "             827: [(277, 5.0),\n",
       "              (8499, 4.0),\n",
       "              (9783, 4.0),\n",
       "              (11339, 5.0),\n",
       "              (12882, 4.0),\n",
       "              (8669, 4.0),\n",
       "              (17214, 5.0),\n",
       "              (9961, 5.0),\n",
       "              (16931, 4.0),\n",
       "              (8873, 5.0),\n",
       "              (18290, 5.0),\n",
       "              (6903, 5.0),\n",
       "              (9047, 5.0),\n",
       "              (8454, 5.0),\n",
       "              (14182, 5.0),\n",
       "              (7262, 5.0),\n",
       "              (1320, 5.0),\n",
       "              (2275, 5.0),\n",
       "              (15884, 4.0),\n",
       "              (1191, 5.0),\n",
       "              (10715, 5.0)],\n",
       "             828: [(245, 5.0), (2644, 5.0)],\n",
       "             829: [(2144, 4.0),\n",
       "              (555, 3.0),\n",
       "              (19041, 2.0),\n",
       "              (15242, 4.0),\n",
       "              (497, 3.0),\n",
       "              (8693, 4.0)],\n",
       "             830: [(3037, 3.0), (9222, 4.0), (8359, 4.0), (9258, 4.0)],\n",
       "             831: [(7963, 5.0),\n",
       "              (14812, 2.0),\n",
       "              (14959, 2.0),\n",
       "              (184, 2.0),\n",
       "              (2268, 4.0)],\n",
       "             832: [(14395, 1.0), (3393, 5.0), (21074, 1.0)],\n",
       "             833: [(4255, 4.0), (13625, 5.0), (11571, 4.0)],\n",
       "             834: [(10317, 4.0),\n",
       "              (2897, 4.0),\n",
       "              (4193, 4.0),\n",
       "              (3088, 4.0),\n",
       "              (2879, 4.0),\n",
       "              (3794, 3.0),\n",
       "              (1595, 4.0),\n",
       "              (18952, 3.0),\n",
       "              (12732, 3.0),\n",
       "              (4132, 3.0),\n",
       "              (9720, 5.0),\n",
       "              (15266, 5.0),\n",
       "              (12855, 3.0),\n",
       "              (1046, 4.0),\n",
       "              (13054, 4.0),\n",
       "              (2620, 4.0),\n",
       "              (16779, 4.0)],\n",
       "             835: [(2781, 3.0),\n",
       "              (346, 4.0),\n",
       "              (2340, 5.0),\n",
       "              (3810, 4.0),\n",
       "              (11742, 5.0),\n",
       "              (4329, 4.0)],\n",
       "             836: [(7081, 5.0),\n",
       "              (1868, 4.0),\n",
       "              (6899, 5.0),\n",
       "              (7633, 5.0),\n",
       "              (10595, 5.0)],\n",
       "             837: [(15993, 3.0),\n",
       "              (4149, 5.0),\n",
       "              (18572, 5.0),\n",
       "              (6525, 5.0),\n",
       "              (10329, 4.0)],\n",
       "             838: [(2611, 5.0), (17895, 4.0), (3065, 5.0)],\n",
       "             839: [(3838, 4.0),\n",
       "              (8776, 3.0),\n",
       "              (2081, 5.0),\n",
       "              (5577, 4.0),\n",
       "              (1490, 4.0),\n",
       "              (1339, 4.0),\n",
       "              (4823, 4.0),\n",
       "              (14037, 4.0),\n",
       "              (1226, 4.0),\n",
       "              (16997, 4.0),\n",
       "              (17720, 5.0),\n",
       "              (12340, 4.0),\n",
       "              (1572, 3.0)],\n",
       "             840: [(5082, 4.0),\n",
       "              (15880, 4.0),\n",
       "              (8463, 4.0),\n",
       "              (5330, 5.0),\n",
       "              (1459, 3.0),\n",
       "              (876, 4.0),\n",
       "              (19843, 4.0),\n",
       "              (16413, 3.0)],\n",
       "             841: [(15036, 5.0),\n",
       "              (10535, 4.0),\n",
       "              (9212, 5.0),\n",
       "              (11736, 5.0),\n",
       "              (13793, 3.0),\n",
       "              (12337, 3.0),\n",
       "              (18691, 2.0),\n",
       "              (20845, 5.0),\n",
       "              (19704, 3.0),\n",
       "              (5945, 5.0),\n",
       "              (19120, 2.0),\n",
       "              (6748, 5.0),\n",
       "              (13049, 5.0),\n",
       "              (14939, 1.0),\n",
       "              (4944, 3.0),\n",
       "              (12558, 5.0),\n",
       "              (14519, 4.0),\n",
       "              (9130, 4.0),\n",
       "              (17478, 5.0),\n",
       "              (12216, 4.0)],\n",
       "             842: [(19419, 3.0),\n",
       "              (12387, 5.0),\n",
       "              (12506, 5.0),\n",
       "              (20968, 5.0),\n",
       "              (1252, 5.0),\n",
       "              (16030, 5.0),\n",
       "              (4142, 5.0)],\n",
       "             843: [(4241, 3.0),\n",
       "              (3208, 5.0),\n",
       "              (14491, 3.0),\n",
       "              (8225, 5.0),\n",
       "              (1425, 5.0),\n",
       "              (5666, 5.0),\n",
       "              (19768, 4.0)],\n",
       "             844: [(3020, 5.0),\n",
       "              (8639, 5.0),\n",
       "              (1489, 5.0),\n",
       "              (6936, 4.0),\n",
       "              (18776, 5.0),\n",
       "              (3411, 3.0),\n",
       "              (11995, 4.0),\n",
       "              (18833, 4.0),\n",
       "              (6589, 5.0),\n",
       "              (8070, 5.0),\n",
       "              (4693, 4.0),\n",
       "              (20315, 4.0),\n",
       "              (11501, 5.0),\n",
       "              (2064, 4.0),\n",
       "              (7381, 4.0),\n",
       "              (3972, 4.0),\n",
       "              (8328, 3.0),\n",
       "              (21040, 4.0),\n",
       "              (14832, 4.0),\n",
       "              (14769, 5.0),\n",
       "              (5215, 5.0),\n",
       "              (5983, 5.0),\n",
       "              (8935, 4.0),\n",
       "              (13493, 4.0),\n",
       "              (17072, 5.0),\n",
       "              (2860, 4.0),\n",
       "              (16605, 4.0),\n",
       "              (7670, 4.0),\n",
       "              (18501, 4.0),\n",
       "              (7907, 4.0),\n",
       "              (18675, 4.0)],\n",
       "             845: [(10306, 4.0), (12561, 4.0), (20425, 4.0)],\n",
       "             846: [(18024, 5.0),\n",
       "              (15664, 4.0),\n",
       "              (11643, 4.0),\n",
       "              (21222, 5.0),\n",
       "              (4149, 5.0),\n",
       "              (8740, 5.0)],\n",
       "             847: [(10613, 4.0), (493, 3.0), (4034, 5.0), (11706, 5.0)],\n",
       "             848: [(19346, 4.0),\n",
       "              (10811, 1.0),\n",
       "              (2931, 5.0),\n",
       "              (10565, 5.0),\n",
       "              (3864, 4.0)],\n",
       "             849: [(8161, 3.0),\n",
       "              (10338, 4.0),\n",
       "              (10706, 5.0),\n",
       "              (17924, 5.0),\n",
       "              (5786, 5.0),\n",
       "              (17797, 5.0),\n",
       "              (16898, 4.0)],\n",
       "             850: [(8283, 5.0),\n",
       "              (18252, 5.0),\n",
       "              (17635, 4.0),\n",
       "              (16512, 5.0),\n",
       "              (9507, 5.0),\n",
       "              (8609, 5.0),\n",
       "              (15947, 5.0),\n",
       "              (4978, 5.0)],\n",
       "             851: [(15192, 4.0), (12109, 4.0), (18341, 4.0), (4727, 5.0)],\n",
       "             852: [(8432, 4.0),\n",
       "              (395, 4.0),\n",
       "              (9702, 4.0),\n",
       "              (6390, 3.0),\n",
       "              (12663, 4.0),\n",
       "              (2824, 4.0),\n",
       "              (11635, 4.0)],\n",
       "             853: [(12187, 4.0),\n",
       "              (5964, 5.0),\n",
       "              (19721, 5.0),\n",
       "              (16596, 5.0),\n",
       "              (16704, 5.0),\n",
       "              (13519, 5.0),\n",
       "              (12031, 5.0)],\n",
       "             854: [(9238, 5.0),\n",
       "              (13918, 5.0),\n",
       "              (4213, 4.0),\n",
       "              (9773, 5.0),\n",
       "              (253, 5.0),\n",
       "              (20073, 5.0),\n",
       "              (296, 5.0),\n",
       "              (2894, 4.0),\n",
       "              (3333, 5.0),\n",
       "              (2451, 5.0),\n",
       "              (6644, 3.0),\n",
       "              (15266, 4.0),\n",
       "              (14187, 4.0),\n",
       "              (14300, 5.0)],\n",
       "             855: [(9461, 2.0),\n",
       "              (15928, 4.0),\n",
       "              (18401, 3.0),\n",
       "              (7494, 3.0),\n",
       "              (1838, 4.0),\n",
       "              (8759, 4.0),\n",
       "              (4555, 4.0),\n",
       "              (9442, 2.0)],\n",
       "             856: [(1112, 5.0),\n",
       "              (443, 4.0),\n",
       "              (1677, 4.0),\n",
       "              (4787, 4.0),\n",
       "              (6162, 3.0),\n",
       "              (9139, 3.0),\n",
       "              (1640, 3.0),\n",
       "              (8200, 3.0),\n",
       "              (6898, 4.0),\n",
       "              (20279, 4.0),\n",
       "              (20953, 3.0),\n",
       "              (19619, 4.0),\n",
       "              (15335, 3.0),\n",
       "              (11858, 4.0),\n",
       "              (17873, 4.0),\n",
       "              (13569, 4.0),\n",
       "              (4189, 3.0),\n",
       "              (15236, 3.0),\n",
       "              (16733, 4.0),\n",
       "              (6558, 3.0),\n",
       "              (5038, 4.0),\n",
       "              (21205, 3.0),\n",
       "              (786, 2.0),\n",
       "              (5142, 3.0),\n",
       "              (3243, 5.0),\n",
       "              (9230, 4.0),\n",
       "              (3700, 4.0),\n",
       "              (5024, 4.0),\n",
       "              (16971, 3.0),\n",
       "              (9775, 4.0),\n",
       "              (21022, 4.0),\n",
       "              (12747, 3.0),\n",
       "              (3352, 2.0),\n",
       "              (18713, 3.0),\n",
       "              (15343, 4.0),\n",
       "              (19195, 3.0),\n",
       "              (4160, 3.0),\n",
       "              (8267, 5.0),\n",
       "              (19445, 4.0),\n",
       "              (6891, 3.0),\n",
       "              (5961, 4.0),\n",
       "              (10814, 3.0),\n",
       "              (677, 5.0),\n",
       "              (4321, 4.0),\n",
       "              (15422, 3.0),\n",
       "              (15435, 4.0),\n",
       "              (11720, 3.0),\n",
       "              (3414, 4.0),\n",
       "              (21061, 3.0),\n",
       "              (19357, 5.0),\n",
       "              (157, 4.0),\n",
       "              (869, 3.0),\n",
       "              (19855, 5.0),\n",
       "              (5559, 5.0),\n",
       "              (10037, 4.0),\n",
       "              (20343, 4.0),\n",
       "              (5766, 3.0),\n",
       "              (18623, 3.0),\n",
       "              (16451, 4.0),\n",
       "              (9194, 3.0),\n",
       "              (6999, 3.0),\n",
       "              (1498, 4.0),\n",
       "              (3759, 4.0),\n",
       "              (8732, 4.0),\n",
       "              (14319, 4.0),\n",
       "              (1395, 3.0),\n",
       "              (5187, 3.0),\n",
       "              (15748, 3.0),\n",
       "              (8365, 4.0),\n",
       "              (21047, 2.0),\n",
       "              (13110, 3.0),\n",
       "              (8390, 3.0),\n",
       "              (21273, 3.0),\n",
       "              (4644, 3.0),\n",
       "              (11464, 4.0),\n",
       "              (2038, 3.0),\n",
       "              (191, 4.0),\n",
       "              (10179, 4.0),\n",
       "              (15777, 3.0),\n",
       "              (8610, 3.0),\n",
       "              (11172, 5.0),\n",
       "              (21014, 3.0),\n",
       "              (6862, 4.0),\n",
       "              (17929, 3.0),\n",
       "              (4340, 4.0),\n",
       "              (18111, 5.0),\n",
       "              (18223, 4.0),\n",
       "              (2813, 2.0),\n",
       "              (1932, 3.0),\n",
       "              (12456, 5.0),\n",
       "              (16766, 3.0),\n",
       "              (11217, 4.0),\n",
       "              (17508, 4.0),\n",
       "              (2867, 4.0),\n",
       "              (6242, 5.0),\n",
       "              (7117, 3.0),\n",
       "              (1668, 4.0),\n",
       "              (17953, 3.0),\n",
       "              (11271, 3.0),\n",
       "              (19494, 4.0),\n",
       "              (1813, 3.0),\n",
       "              (15731, 2.0)],\n",
       "             857: [(11978, 5.0),\n",
       "              (3010, 5.0),\n",
       "              (19458, 5.0),\n",
       "              (12444, 4.0),\n",
       "              (11508, 4.0),\n",
       "              (9127, 5.0)],\n",
       "             858: [(19836, 4.0),\n",
       "              (14849, 4.0),\n",
       "              (11843, 4.0),\n",
       "              (17245, 4.0),\n",
       "              (8013, 3.0),\n",
       "              (8244, 5.0),\n",
       "              (15806, 4.0),\n",
       "              (7190, 4.0),\n",
       "              (11157, 5.0),\n",
       "              (4689, 4.0),\n",
       "              (1904, 4.0)],\n",
       "             859: [(7835, 4.0),\n",
       "              (8351, 4.0),\n",
       "              (5418, 5.0),\n",
       "              (11730, 4.0),\n",
       "              (15266, 5.0)],\n",
       "             860: [(11557, 5.0),\n",
       "              (10139, 4.0),\n",
       "              (20109, 5.0),\n",
       "              (8181, 4.0),\n",
       "              (21139, 5.0),\n",
       "              (12722, 4.0),\n",
       "              (4786, 5.0),\n",
       "              (740, 5.0),\n",
       "              (8751, 5.0),\n",
       "              (18640, 5.0),\n",
       "              (19673, 5.0)],\n",
       "             861: [(2654, 3.0),\n",
       "              (20369, 3.0),\n",
       "              (5032, 4.0),\n",
       "              (14945, 3.0),\n",
       "              (15430, 3.0)],\n",
       "             862: [(14251, 1.0), (4178, 5.0), (360, 5.0), (731, 5.0)],\n",
       "             863: [(3997, 5.0),\n",
       "              (5987, 4.0),\n",
       "              (8070, 4.0),\n",
       "              (6899, 5.0),\n",
       "              (8165, 4.0),\n",
       "              (13794, 5.0),\n",
       "              (15291, 5.0)],\n",
       "             864: [(10619, 5.0),\n",
       "              (4896, 5.0),\n",
       "              (16965, 2.0),\n",
       "              (17156, 3.0),\n",
       "              (20349, 5.0),\n",
       "              (6633, 5.0),\n",
       "              (6751, 5.0),\n",
       "              (11110, 5.0),\n",
       "              (581, 3.0),\n",
       "              (1454, 4.0),\n",
       "              (8475, 5.0),\n",
       "              (16897, 4.0)],\n",
       "             865: [(4543, 4.0),\n",
       "              (6741, 4.0),\n",
       "              (12968, 5.0),\n",
       "              (1425, 4.0),\n",
       "              (5249, 4.0),\n",
       "              (19739, 4.0),\n",
       "              (13607, 4.0),\n",
       "              (12629, 4.0),\n",
       "              (19285, 4.0),\n",
       "              (8927, 4.0),\n",
       "              (13582, 4.0),\n",
       "              (20822, 4.0),\n",
       "              (16269, 4.0),\n",
       "              (7481, 4.0),\n",
       "              (4501, 4.0),\n",
       "              (2472, 4.0)],\n",
       "             866: [(15684, 3.0),\n",
       "              (5297, 5.0),\n",
       "              (10308, 4.0),\n",
       "              (12079, 4.0),\n",
       "              (14119, 5.0),\n",
       "              (17969, 5.0),\n",
       "              (19297, 3.0),\n",
       "              (3977, 5.0),\n",
       "              (7855, 5.0),\n",
       "              (2811, 4.0)],\n",
       "             867: [(1007, 5.0), (13297, 5.0), (10614, 5.0), (17806, 5.0)],\n",
       "             868: [(7627, 5.0),\n",
       "              (7204, 5.0),\n",
       "              (7410, 5.0),\n",
       "              (3928, 5.0),\n",
       "              (1351, 5.0),\n",
       "              (2565, 5.0),\n",
       "              (20976, 5.0)],\n",
       "             869: [(7762, 3.0), (8540, 5.0), (12142, 2.0), (10552, 3.0)],\n",
       "             870: [(6753, 4.0),\n",
       "              (9093, 3.0),\n",
       "              (2774, 3.0),\n",
       "              (4090, 4.0),\n",
       "              (10251, 5.0),\n",
       "              (12244, 4.0),\n",
       "              (18379, 4.0),\n",
       "              (6587, 4.0),\n",
       "              (17123, 4.0)],\n",
       "             871: [(13866, 5.0),\n",
       "              (1311, 4.0),\n",
       "              (3596, 5.0),\n",
       "              (4043, 5.0),\n",
       "              (18569, 4.0),\n",
       "              (11383, 5.0),\n",
       "              (21150, 5.0),\n",
       "              (8142, 5.0),\n",
       "              (15501, 5.0),\n",
       "              (5585, 4.0)],\n",
       "             872: [(12633, 4.0),\n",
       "              (3133, 3.0),\n",
       "              (9980, 4.0),\n",
       "              (19969, 4.0),\n",
       "              (19553, 4.0)],\n",
       "             873: [(5134, 4.0),\n",
       "              (5294, 4.0),\n",
       "              (18082, 5.0),\n",
       "              (8285, 4.0),\n",
       "              (12669, 4.0),\n",
       "              (18058, 5.0),\n",
       "              (16745, 5.0),\n",
       "              (17751, 4.0),\n",
       "              (10899, 5.0),\n",
       "              (18905, 3.0),\n",
       "              (15002, 4.0),\n",
       "              (1496, 4.0),\n",
       "              (12364, 4.0),\n",
       "              (2632, 4.0)],\n",
       "             874: [(9450, 5.0), (11717, 4.0), (670, 5.0)],\n",
       "             875: [(1122, 3.0),\n",
       "              (9735, 4.0),\n",
       "              (3181, 4.0),\n",
       "              (19621, 4.0),\n",
       "              (1156, 4.0),\n",
       "              (251, 5.0),\n",
       "              (4504, 4.0),\n",
       "              (17969, 3.0),\n",
       "              (15490, 4.0),\n",
       "              (11497, 4.0),\n",
       "              (1183, 4.0),\n",
       "              (1111, 4.0),\n",
       "              (14320, 3.0),\n",
       "              (3020, 4.0),\n",
       "              (11274, 4.0),\n",
       "              (1167, 4.0),\n",
       "              (12954, 3.0),\n",
       "              (16672, 5.0),\n",
       "              (19539, 4.0),\n",
       "              (893, 4.0),\n",
       "              (20366, 3.0),\n",
       "              (10351, 4.0),\n",
       "              (6621, 4.0),\n",
       "              (16919, 4.0),\n",
       "              (15517, 3.0),\n",
       "              (17751, 4.0),\n",
       "              (17886, 5.0)],\n",
       "             876: [(1133, 5.0), (21113, 4.0), (8853, 5.0), (13506, 5.0)],\n",
       "             877: [(10403, 5.0), (15287, 5.0), (18704, 5.0), (14516, 5.0)],\n",
       "             878: [(1634, 5.0),\n",
       "              (21178, 4.0),\n",
       "              (9928, 4.0),\n",
       "              (5008, 4.0),\n",
       "              (9258, 5.0)],\n",
       "             879: [(1399, 5.0),\n",
       "              (7862, 5.0),\n",
       "              (21205, 3.0),\n",
       "              (9145, 3.0),\n",
       "              (19610, 5.0),\n",
       "              (19432, 5.0)],\n",
       "             880: [(18294, 4.0), (3690, 4.0), (8079, 4.0), (14752, 4.0)],\n",
       "             881: [(15881, 5.0),\n",
       "              (4173, 5.0),\n",
       "              (2521, 5.0),\n",
       "              (6057, 5.0),\n",
       "              (16349, 4.0),\n",
       "              (17673, 5.0),\n",
       "              (13948, 5.0)],\n",
       "             882: [(16519, 4.0),\n",
       "              (5193, 5.0),\n",
       "              (1897, 3.0),\n",
       "              (19690, 4.0),\n",
       "              (9891, 4.0),\n",
       "              (2628, 4.0),\n",
       "              (5973, 4.0),\n",
       "              (1532, 5.0),\n",
       "              (8133, 4.0),\n",
       "              (15712, 4.0)],\n",
       "             883: [(16501, 4.0),\n",
       "              (13315, 4.0),\n",
       "              (17023, 5.0),\n",
       "              (11744, 4.0),\n",
       "              (5790, 5.0),\n",
       "              (5068, 5.0),\n",
       "              (11085, 5.0),\n",
       "              (3894, 4.0),\n",
       "              (17568, 4.0),\n",
       "              (12846, 4.0),\n",
       "              (20600, 5.0)],\n",
       "             884: [(815, 5.0), (11644, 3.0), (12340, 5.0), (12519, 4.0)],\n",
       "             885: [(15636, 5.0), (13187, 5.0), (10837, 4.0), (64, 5.0)],\n",
       "             886: [(3402, 4.0), (18778, 4.0), (19217, 4.0)],\n",
       "             887: [(4753, 5.0),\n",
       "              (389, 5.0),\n",
       "              (19857, 5.0),\n",
       "              (13297, 5.0),\n",
       "              (3197, 5.0),\n",
       "              (18665, 5.0),\n",
       "              (4691, 5.0),\n",
       "              (9991, 5.0),\n",
       "              (8212, 5.0),\n",
       "              (5424, 5.0),\n",
       "              (15358, 5.0),\n",
       "              (7379, 5.0),\n",
       "              (1229, 5.0)],\n",
       "             888: [(14855, 5.0), (11560, 4.0), (7436, 4.0), (7951, 4.0)],\n",
       "             889: [(16376, 4.0),\n",
       "              (14411, 5.0),\n",
       "              (11392, 3.0),\n",
       "              (10496, 4.0),\n",
       "              (15783, 4.0),\n",
       "              (9253, 4.0)],\n",
       "             890: [(8684, 5.0), (16135, 4.0), (7910, 4.0)],\n",
       "             891: [(4240, 5.0), (11137, 4.0), (4890, 5.0), (6928, 4.0)],\n",
       "             892: [(18905, 5.0),\n",
       "              (4756, 4.0),\n",
       "              (11748, 5.0),\n",
       "              (12045, 3.0),\n",
       "              (17314, 5.0),\n",
       "              (8927, 5.0),\n",
       "              (16288, 3.0)],\n",
       "             893: [(15842, 4.0),\n",
       "              (16958, 4.0),\n",
       "              (11712, 4.0),\n",
       "              (17841, 4.0),\n",
       "              (7395, 3.0),\n",
       "              (3351, 2.0),\n",
       "              (138, 3.0),\n",
       "              (1191, 4.0),\n",
       "              (17142, 3.0),\n",
       "              (4139, 3.0),\n",
       "              (15425, 4.0),\n",
       "              (398, 4.0),\n",
       "              (9169, 3.0),\n",
       "              (11376, 3.0),\n",
       "              (15541, 4.0),\n",
       "              (3136, 3.0),\n",
       "              (9864, 4.0),\n",
       "              (9146, 3.0),\n",
       "              (21197, 4.0),\n",
       "              (18305, 2.0),\n",
       "              (3109, 4.0),\n",
       "              (13778, 4.0),\n",
       "              (15775, 4.0),\n",
       "              (3269, 4.0),\n",
       "              (18026, 4.0),\n",
       "              (18709, 4.0),\n",
       "              (6904, 4.0),\n",
       "              (1713, 3.0),\n",
       "              (10033, 3.0),\n",
       "              (6957, 2.0),\n",
       "              (3842, 3.0),\n",
       "              (16397, 4.0),\n",
       "              (2667, 4.0),\n",
       "              (9557, 2.0),\n",
       "              (6125, 3.0),\n",
       "              (87, 3.0),\n",
       "              (11745, 3.0),\n",
       "              (59, 3.0),\n",
       "              (11763, 4.0),\n",
       "              (3159, 3.0),\n",
       "              (14775, 4.0),\n",
       "              (7582, 3.0),\n",
       "              (12006, 3.0),\n",
       "              (8056, 4.0),\n",
       "              (17875, 4.0),\n",
       "              (3807, 3.0)],\n",
       "             894: [(18021, 5.0), (15685, 4.0), (20347, 4.0), (20816, 4.0)],\n",
       "             895: [(18776, 5.0), (5293, 5.0), (5305, 4.0), (7365, 4.0)],\n",
       "             896: [(4193, 5.0),\n",
       "              (14627, 4.0),\n",
       "              (14409, 4.0),\n",
       "              (18082, 5.0),\n",
       "              (10351, 4.0),\n",
       "              (3020, 4.0),\n",
       "              (789, 4.0),\n",
       "              (10646, 4.0),\n",
       "              (3, 4.0),\n",
       "              (8930, 5.0),\n",
       "              (2451, 5.0),\n",
       "              (15266, 5.0)],\n",
       "             897: [(19610, 5.0), (5766, 4.0), (1380, 5.0)],\n",
       "             898: [(9310, 3.0), (6308, 4.0), (10323, 4.0), (2896, 3.0)],\n",
       "             899: [(12453, 5.0),\n",
       "              (650, 4.0),\n",
       "              (3618, 3.0),\n",
       "              (11342, 4.0),\n",
       "              (14144, 3.0),\n",
       "              (7226, 5.0),\n",
       "              (634, 5.0),\n",
       "              (18435, 4.0),\n",
       "              (17227, 3.0),\n",
       "              (12326, 4.0),\n",
       "              (13245, 5.0),\n",
       "              (10789, 4.0)],\n",
       "             900: [(20436, 4.0),\n",
       "              (18168, 5.0),\n",
       "              (13286, 5.0),\n",
       "              (14694, 4.0),\n",
       "              (13422, 5.0),\n",
       "              (18725, 4.0),\n",
       "              (11116, 4.0),\n",
       "              (4409, 4.0),\n",
       "              (4782, 5.0),\n",
       "              (19787, 4.0),\n",
       "              (7537, 5.0),\n",
       "              (15999, 5.0),\n",
       "              (382, 4.0),\n",
       "              (20557, 5.0),\n",
       "              (14464, 3.0),\n",
       "              (18470, 5.0),\n",
       "              (2529, 4.0),\n",
       "              (14451, 5.0)],\n",
       "             901: [(17117, 4.0),\n",
       "              (7051, 4.0),\n",
       "              (7038, 4.0),\n",
       "              (6376, 4.0),\n",
       "              (16350, 5.0),\n",
       "              (9375, 3.0)],\n",
       "             902: [(21170, 5.0),\n",
       "              (17578, 4.0),\n",
       "              (14205, 4.0),\n",
       "              (20787, 5.0),\n",
       "              (17262, 5.0),\n",
       "              (6055, 3.0),\n",
       "              (12497, 3.0),\n",
       "              (13838, 4.0),\n",
       "              (10253, 4.0),\n",
       "              (15973, 5.0),\n",
       "              (5840, 5.0),\n",
       "              (9386, 4.0),\n",
       "              (19537, 4.0),\n",
       "              (9460, 4.0),\n",
       "              (6119, 4.0)],\n",
       "             903: [(4438, 5.0), (2904, 5.0), (3528, 3.0), (3236, 3.0)],\n",
       "             904: [(5860, 4.0),\n",
       "              (18676, 3.0),\n",
       "              (18786, 3.0),\n",
       "              (7959, 3.0),\n",
       "              (14301, 4.0),\n",
       "              (5629, 4.0),\n",
       "              (11425, 4.0),\n",
       "              (13176, 1.0),\n",
       "              (19347, 1.0),\n",
       "              (13691, 4.0)],\n",
       "             905: [(19610, 4.0),\n",
       "              (5476, 4.0),\n",
       "              (3736, 5.0),\n",
       "              (19560, 5.0),\n",
       "              (19378, 4.0),\n",
       "              (6390, 4.0),\n",
       "              (14724, 4.0),\n",
       "              (4340, 4.0),\n",
       "              (20873, 4.0),\n",
       "              (17004, 4.0)],\n",
       "             906: [(11872, 3.0),\n",
       "              (12690, 5.0),\n",
       "              (11177, 4.0),\n",
       "              (19278, 5.0),\n",
       "              (14758, 4.0),\n",
       "              (6240, 3.0),\n",
       "              (4033, 2.0),\n",
       "              (10930, 4.0)],\n",
       "             907: [(18905, 4.0),\n",
       "              (13898, 3.0),\n",
       "              (6336, 4.0),\n",
       "              (12038, 5.0),\n",
       "              (8548, 5.0),\n",
       "              (17734, 4.0),\n",
       "              (7883, 5.0),\n",
       "              (15186, 2.0)],\n",
       "             908: [(13048, 4.0),\n",
       "              (4189, 5.0),\n",
       "              (12475, 5.0),\n",
       "              (1932, 3.0),\n",
       "              (10531, 4.0),\n",
       "              (13409, 4.0),\n",
       "              (17865, 4.0),\n",
       "              (21041, 4.0),\n",
       "              (14283, 5.0),\n",
       "              (9092, 4.0),\n",
       "              (3792, 3.0),\n",
       "              (15909, 4.0),\n",
       "              (21061, 5.0),\n",
       "              (11244, 4.0),\n",
       "              (8275, 5.0),\n",
       "              (13034, 4.0),\n",
       "              (10352, 4.0),\n",
       "              (11336, 5.0),\n",
       "              (10737, 3.0),\n",
       "              (8003, 5.0),\n",
       "              (8035, 4.0),\n",
       "              (3187, 4.0),\n",
       "              (14157, 4.0),\n",
       "              (8972, 4.0),\n",
       "              (15646, 4.0),\n",
       "              (15332, 3.0),\n",
       "              (15513, 4.0),\n",
       "              (15101, 4.0),\n",
       "              (1091, 4.0),\n",
       "              (17691, 4.0),\n",
       "              (13255, 5.0),\n",
       "              (5450, 5.0),\n",
       "              (17172, 4.0),\n",
       "              (13015, 4.0),\n",
       "              (3446, 5.0),\n",
       "              (3185, 5.0),\n",
       "              (19036, 4.0),\n",
       "              (15339, 5.0),\n",
       "              (191, 5.0),\n",
       "              (5546, 4.0),\n",
       "              (11861, 4.0),\n",
       "              (14599, 5.0),\n",
       "              (16971, 5.0),\n",
       "              (89, 5.0),\n",
       "              (19459, 5.0)],\n",
       "             909: [(6595, 5.0),\n",
       "              (19787, 2.0),\n",
       "              (4246, 3.0),\n",
       "              (7316, 5.0),\n",
       "              (3784, 5.0),\n",
       "              (19869, 3.0),\n",
       "              (8846, 3.0),\n",
       "              (16985, 4.0),\n",
       "              (17695, 3.0),\n",
       "              (2510, 5.0),\n",
       "              (13336, 5.0),\n",
       "              (19330, 5.0),\n",
       "              (6763, 5.0),\n",
       "              (7420, 4.0)],\n",
       "             910: [(20787, 4.0), (19970, 3.0), (14192, 4.0), (4576, 4.0)],\n",
       "             911: [(11692, 4.0),\n",
       "              (336, 4.0),\n",
       "              (7107, 5.0),\n",
       "              (8573, 3.0),\n",
       "              (2843, 4.0),\n",
       "              (6963, 4.0),\n",
       "              (4885, 5.0),\n",
       "              (1738, 4.0),\n",
       "              (15271, 4.0),\n",
       "              (14697, 4.0),\n",
       "              (16372, 5.0),\n",
       "              (8267, 5.0),\n",
       "              (6928, 3.0),\n",
       "              (19492, 4.0),\n",
       "              (11863, 3.0),\n",
       "              (1547, 4.0),\n",
       "              (20317, 5.0),\n",
       "              (12828, 4.0),\n",
       "              (20733, 4.0),\n",
       "              (12110, 4.0),\n",
       "              (4718, 3.0),\n",
       "              (7530, 3.0),\n",
       "              (18705, 4.0),\n",
       "              (19184, 5.0),\n",
       "              (3792, 4.0),\n",
       "              (9767, 4.0),\n",
       "              (18053, 5.0),\n",
       "              (2519, 3.0),\n",
       "              (19119, 4.0),\n",
       "              (11108, 3.0),\n",
       "              (6793, 4.0),\n",
       "              (21244, 4.0),\n",
       "              (12750, 5.0),\n",
       "              (11936, 5.0),\n",
       "              (3753, 3.0),\n",
       "              (322, 5.0),\n",
       "              (9056, 5.0),\n",
       "              (63, 4.0),\n",
       "              (20637, 3.0),\n",
       "              (8308, 4.0),\n",
       "              (1112, 4.0),\n",
       "              (9849, 4.0),\n",
       "              (12016, 3.0),\n",
       "              (3526, 4.0),\n",
       "              (2332, 3.0),\n",
       "              (13723, 4.0),\n",
       "              (15276, 5.0),\n",
       "              (11092, 4.0),\n",
       "              (19619, 5.0),\n",
       "              (14368, 3.0),\n",
       "              (9977, 5.0),\n",
       "              (18582, 4.0),\n",
       "              (6463, 4.0),\n",
       "              (7115, 4.0),\n",
       "              (3476, 5.0),\n",
       "              (251, 5.0),\n",
       "              (15975, 4.0),\n",
       "              (3739, 4.0),\n",
       "              (5038, 3.0),\n",
       "              (21212, 3.0),\n",
       "              (6119, 3.0),\n",
       "              (13900, 5.0),\n",
       "              (4039, 4.0),\n",
       "              (9779, 3.0),\n",
       "              (15339, 5.0),\n",
       "              (17595, 5.0),\n",
       "              (16426, 3.0)],\n",
       "             912: [(16716, 5.0), (15745, 4.0), (13233, 5.0), (857, 5.0)],\n",
       "             913: [(8112, 4.0),\n",
       "              (5608, 4.0),\n",
       "              (20622, 5.0),\n",
       "              (18903, 5.0),\n",
       "              (2580, 4.0)],\n",
       "             914: [(4365, 4.0),\n",
       "              (19847, 5.0),\n",
       "              (17640, 5.0),\n",
       "              (303, 5.0),\n",
       "              (15746, 5.0),\n",
       "              (17957, 5.0),\n",
       "              (2327, 4.0),\n",
       "              (5005, 4.0),\n",
       "              (19842, 4.0),\n",
       "              (2909, 5.0),\n",
       "              (14010, 3.0),\n",
       "              (20342, 4.0),\n",
       "              (16860, 5.0),\n",
       "              (15505, 4.0),\n",
       "              (4079, 4.0),\n",
       "              (6659, 4.0),\n",
       "              (20475, 5.0),\n",
       "              (1060, 5.0),\n",
       "              (3678, 4.0),\n",
       "              (3924, 3.0),\n",
       "              (3496, 4.0),\n",
       "              (7095, 4.0),\n",
       "              (424, 5.0),\n",
       "              (14666, 4.0),\n",
       "              (14512, 3.0),\n",
       "              (2265, 4.0),\n",
       "              (3673, 5.0),\n",
       "              (3517, 5.0)],\n",
       "             915: [(19902, 5.0), (19683, 5.0), (9012, 5.0)],\n",
       "             916: [(19148, 4.0),\n",
       "              (18917, 3.0),\n",
       "              (20896, 4.0),\n",
       "              (13075, 5.0),\n",
       "              (3572, 4.0),\n",
       "              (6027, 5.0),\n",
       "              (9214, 4.0),\n",
       "              (21239, 5.0),\n",
       "              (3812, 4.0),\n",
       "              (16878, 3.0),\n",
       "              (9644, 4.0),\n",
       "              (15798, 5.0),\n",
       "              (13872, 5.0),\n",
       "              (18131, 5.0),\n",
       "              (12987, 5.0),\n",
       "              (19680, 4.0),\n",
       "              (1308, 4.0),\n",
       "              (16354, 5.0),\n",
       "              (1641, 4.0),\n",
       "              (2230, 5.0),\n",
       "              (1046, 4.0),\n",
       "              (9472, 5.0),\n",
       "              (20987, 3.0),\n",
       "              (14733, 4.0),\n",
       "              (10419, 5.0),\n",
       "              (12639, 4.0),\n",
       "              (15494, 5.0),\n",
       "              (11942, 4.0),\n",
       "              (248, 4.0),\n",
       "              (20622, 4.0),\n",
       "              (8500, 4.0),\n",
       "              (243, 4.0)],\n",
       "             917: [(11688, 4.0),\n",
       "              (7018, 5.0),\n",
       "              (3506, 5.0),\n",
       "              (4290, 4.0),\n",
       "              (4648, 5.0),\n",
       "              (18118, 5.0),\n",
       "              (14210, 5.0),\n",
       "              (2047, 4.0),\n",
       "              (20207, 5.0),\n",
       "              (3517, 4.0),\n",
       "              (3175, 4.0),\n",
       "              (13081, 5.0),\n",
       "              (17053, 4.0),\n",
       "              (6906, 3.0),\n",
       "              (16678, 5.0),\n",
       "              (11116, 5.0),\n",
       "              (11870, 2.0),\n",
       "              (5182, 2.0),\n",
       "              (4764, 4.0),\n",
       "              (2529, 5.0),\n",
       "              (5106, 5.0),\n",
       "              (10699, 5.0),\n",
       "              (16726, 5.0)],\n",
       "             918: [(5678, 2.0),\n",
       "              (355, 5.0),\n",
       "              (1243, 2.0),\n",
       "              (8259, 5.0),\n",
       "              (805, 5.0)],\n",
       "             919: [(13746, 5.0),\n",
       "              (5925, 5.0),\n",
       "              (20522, 5.0),\n",
       "              (8128, 5.0),\n",
       "              (11364, 5.0),\n",
       "              (21285, 4.0),\n",
       "              (17868, 4.0),\n",
       "              (16007, 5.0),\n",
       "              (11548, 5.0)],\n",
       "             920: [(12717, 5.0),\n",
       "              (11830, 5.0),\n",
       "              (3740, 5.0),\n",
       "              (5930, 5.0),\n",
       "              (3714, 5.0),\n",
       "              (18416, 5.0),\n",
       "              (14801, 5.0)],\n",
       "             921: [(1707, 5.0), (1636, 5.0)],\n",
       "             922: [(14877, 5.0),\n",
       "              (17449, 4.0),\n",
       "              (7078, 5.0),\n",
       "              (11627, 2.0),\n",
       "              (6360, 4.0)],\n",
       "             923: [(7070, 3.0), (7175, 5.0), (9655, 2.0), (1608, 4.0)],\n",
       "             924: [(19560, 5.0),\n",
       "              (14942, 4.0),\n",
       "              (16807, 2.0),\n",
       "              (13146, 4.0),\n",
       "              (8824, 4.0),\n",
       "              (7309, 4.0)],\n",
       "             925: [(5595, 3.0),\n",
       "              (17896, 4.0),\n",
       "              (11182, 3.0),\n",
       "              (6160, 5.0),\n",
       "              (14338, 4.0),\n",
       "              (15616, 4.0),\n",
       "              (11050, 3.0)],\n",
       "             926: [(4985, 3.0),\n",
       "              (8175, 3.0),\n",
       "              (4361, 3.0),\n",
       "              (5190, 3.0),\n",
       "              (10644, 4.0)],\n",
       "             927: [(20558, 4.0), (4721, 3.0), (11429, 4.0), (3800, 5.0)],\n",
       "             928: [(20820, 5.0),\n",
       "              (6372, 5.0),\n",
       "              (11176, 5.0),\n",
       "              (8653, 5.0),\n",
       "              (10652, 5.0),\n",
       "              (3586, 5.0)],\n",
       "             929: [(21318, 4.0),\n",
       "              (5227, 5.0),\n",
       "              (17268, 5.0),\n",
       "              (14888, 4.0),\n",
       "              (1722, 5.0),\n",
       "              (20217, 2.0),\n",
       "              (20121, 5.0),\n",
       "              (1348, 3.0),\n",
       "              (20297, 5.0),\n",
       "              (14390, 5.0),\n",
       "              (21058, 5.0)],\n",
       "             930: [(3735, 1.0),\n",
       "              (18742, 4.0),\n",
       "              (18499, 5.0),\n",
       "              (815, 5.0),\n",
       "              (7808, 3.0),\n",
       "              (6897, 5.0)],\n",
       "             931: [(16853, 5.0), (12746, 5.0)],\n",
       "             932: [(14953, 4.0),\n",
       "              (15445, 4.0),\n",
       "              (12145, 5.0),\n",
       "              (7339, 3.0),\n",
       "              (3100, 3.0),\n",
       "              (19260, 3.0),\n",
       "              (18122, 5.0),\n",
       "              (16919, 4.0),\n",
       "              (12846, 4.0),\n",
       "              (3181, 4.0)],\n",
       "             933: [(14546, 5.0),\n",
       "              (11995, 4.0),\n",
       "              (17190, 3.0),\n",
       "              (9714, 1.0),\n",
       "              (10214, 5.0)],\n",
       "             934: [(7414, 5.0),\n",
       "              (5711, 5.0),\n",
       "              (15, 5.0),\n",
       "              (10344, 5.0),\n",
       "              (10147, 4.0),\n",
       "              (20531, 2.0)],\n",
       "             935: [(10853, 4.0),\n",
       "              (4569, 2.0),\n",
       "              (2584, 5.0),\n",
       "              (1470, 3.0),\n",
       "              (9267, 2.0),\n",
       "              (15170, 2.0)],\n",
       "             936: [(17299, 5.0),\n",
       "              (2644, 5.0),\n",
       "              (12723, 5.0),\n",
       "              (13507, 5.0),\n",
       "              (2825, 5.0)],\n",
       "             937: [(19931, 4.0),\n",
       "              (243, 4.0),\n",
       "              (8322, 5.0),\n",
       "              (18731, 4.0),\n",
       "              (8024, 5.0),\n",
       "              (9859, 4.0),\n",
       "              (18235, 4.0),\n",
       "              (14196, 5.0),\n",
       "              (14883, 5.0),\n",
       "              (5658, 5.0)],\n",
       "             938: [(15886, 2.0), (6763, 2.0), (4780, 4.0), (424, 5.0)],\n",
       "             939: [(7914, 5.0),\n",
       "              (20149, 5.0),\n",
       "              (3820, 5.0),\n",
       "              (7294, 4.0),\n",
       "              (18605, 4.0),\n",
       "              (3881, 5.0),\n",
       "              (7736, 4.0)],\n",
       "             940: [(2217, 5.0), (11461, 4.0), (20036, 5.0), (7546, 4.0)],\n",
       "             941: [(16311, 3.0),\n",
       "              (6975, 4.0),\n",
       "              (15030, 4.0),\n",
       "              (18446, 4.0),\n",
       "              (18705, 4.0),\n",
       "              (9683, 5.0),\n",
       "              (16127, 4.0)],\n",
       "             942: [(7519, 4.0),\n",
       "              (17459, 4.0),\n",
       "              (8824, 4.0),\n",
       "              (567, 4.0),\n",
       "              (10917, 4.0),\n",
       "              (17040, 4.0),\n",
       "              (7791, 4.0),\n",
       "              (15996, 3.0),\n",
       "              (20530, 4.0)],\n",
       "             943: [(12597, 3.0),\n",
       "              (9386, 4.0),\n",
       "              (12309, 3.0),\n",
       "              (18666, 4.0),\n",
       "              (13623, 2.0),\n",
       "              (3643, 4.0)],\n",
       "             944: [(12613, 4.0), (17451, 4.0), (12443, 5.0), (10806, 5.0)],\n",
       "             945: [(5375, 5.0),\n",
       "              (2231, 5.0),\n",
       "              (11143, 4.0),\n",
       "              (3571, 5.0),\n",
       "              (11629, 5.0),\n",
       "              (19706, 3.0),\n",
       "              (14037, 4.0),\n",
       "              (17471, 2.0),\n",
       "              (14285, 5.0),\n",
       "              (15012, 4.0),\n",
       "              (11275, 4.0),\n",
       "              (21096, 3.0),\n",
       "              (10838, 5.0),\n",
       "              (9695, 5.0),\n",
       "              (7851, 4.0),\n",
       "              (14276, 1.0),\n",
       "              (15753, 4.0),\n",
       "              (2256, 4.0),\n",
       "              (19438, 4.0),\n",
       "              (17299, 5.0),\n",
       "              (20608, 3.0),\n",
       "              (5258, 5.0),\n",
       "              (12340, 4.0),\n",
       "              (2893, 4.0),\n",
       "              (19663, 3.0),\n",
       "              (7382, 4.0),\n",
       "              (2271, 3.0),\n",
       "              (11461, 4.0),\n",
       "              (15038, 4.0),\n",
       "              (12303, 1.0),\n",
       "              (5229, 4.0),\n",
       "              (16192, 5.0),\n",
       "              (13663, 5.0),\n",
       "              (5378, 5.0),\n",
       "              (1263, 4.0),\n",
       "              (14260, 4.0),\n",
       "              (20585, 4.0),\n",
       "              (1110, 3.0),\n",
       "              (12811, 4.0),\n",
       "              (3016, 4.0),\n",
       "              (15771, 4.0),\n",
       "              (14519, 4.0),\n",
       "              (2439, 3.0),\n",
       "              (19755, 3.0),\n",
       "              (7546, 4.0),\n",
       "              (18851, 5.0),\n",
       "              (8199, 4.0),\n",
       "              (3801, 3.0),\n",
       "              (8689, 4.0),\n",
       "              (19346, 4.0),\n",
       "              (12590, 5.0),\n",
       "              (6327, 4.0),\n",
       "              (2766, 4.0),\n",
       "              (3957, 4.0),\n",
       "              (17441, 2.0),\n",
       "              (3235, 5.0),\n",
       "              (20845, 5.0),\n",
       "              (3646, 4.0),\n",
       "              (6781, 4.0),\n",
       "              (4696, 4.0),\n",
       "              (12269, 4.0),\n",
       "              (15249, 4.0),\n",
       "              (10380, 2.0),\n",
       "              (17210, 4.0),\n",
       "              (18407, 3.0),\n",
       "              (2467, 4.0),\n",
       "              (8866, 3.0),\n",
       "              (5750, 5.0),\n",
       "              (8188, 4.0),\n",
       "              (8570, 4.0),\n",
       "              (20179, 3.0),\n",
       "              (17008, 3.0),\n",
       "              (10436, 5.0),\n",
       "              (16995, 2.0),\n",
       "              (14688, 3.0),\n",
       "              (1231, 4.0),\n",
       "              (5371, 5.0),\n",
       "              (16843, 4.0),\n",
       "              (1339, 2.0),\n",
       "              (3226, 3.0),\n",
       "              (9286, 4.0),\n",
       "              (6654, 3.0),\n",
       "              (1216, 2.0),\n",
       "              (21230, 5.0),\n",
       "              (19503, 3.0),\n",
       "              (9020, 4.0),\n",
       "              (12519, 4.0),\n",
       "              (18720, 5.0),\n",
       "              (3707, 4.0),\n",
       "              (9868, 4.0),\n",
       "              (15914, 3.0),\n",
       "              (3838, 5.0),\n",
       "              (1690, 3.0),\n",
       "              (5236, 2.0),\n",
       "              (11943, 3.0),\n",
       "              (10902, 5.0),\n",
       "              (9752, 2.0),\n",
       "              (7956, 4.0),\n",
       "              (11350, 3.0),\n",
       "              (1431, 5.0),\n",
       "              (7814, 3.0),\n",
       "              (17344, 5.0),\n",
       "              (8397, 4.0),\n",
       "              (4070, 5.0),\n",
       "              (20026, 3.0),\n",
       "              (19214, 3.0),\n",
       "              (19863, 4.0),\n",
       "              (11644, 3.0),\n",
       "              (7046, 4.0),\n",
       "              (10866, 2.0),\n",
       "              (12705, 3.0),\n",
       "              (19629, 4.0),\n",
       "              (8873, 5.0),\n",
       "              (20031, 5.0),\n",
       "              (3892, 3.0),\n",
       "              (6987, 3.0),\n",
       "              (8439, 4.0),\n",
       "              (8354, 4.0),\n",
       "              (17505, 4.0),\n",
       "              (2724, 3.0),\n",
       "              (18658, 4.0),\n",
       "              (14420, 2.0),\n",
       "              (12613, 4.0),\n",
       "              (12503, 4.0),\n",
       "              (8578, 3.0),\n",
       "              (9367, 4.0),\n",
       "              (18055, 3.0),\n",
       "              (20029, 4.0),\n",
       "              (15000, 5.0),\n",
       "              (16220, 5.0),\n",
       "              (10962, 3.0),\n",
       "              (19523, 5.0),\n",
       "              (9251, 3.0),\n",
       "              (18007, 3.0),\n",
       "              (19326, 4.0),\n",
       "              (20119, 5.0),\n",
       "              (15021, 3.0),\n",
       "              (9674, 3.0),\n",
       "              (6482, 3.0),\n",
       "              (15088, 2.0),\n",
       "              (12658, 4.0),\n",
       "              (21221, 5.0),\n",
       "              (14081, 4.0),\n",
       "              (13856, 4.0),\n",
       "              (14894, 4.0),\n",
       "              (20373, 3.0),\n",
       "              (647, 2.0),\n",
       "              (8160, 4.0),\n",
       "              (14050, 5.0),\n",
       "              (12977, 4.0),\n",
       "              (20643, 4.0),\n",
       "              (9210, 4.0),\n",
       "              (15174, 5.0),\n",
       "              (8051, 5.0),\n",
       "              (3708, 2.0),\n",
       "              (9042, 4.0),\n",
       "              (11719, 3.0),\n",
       "              (14536, 4.0),\n",
       "              (9372, 5.0),\n",
       "              (13650, 5.0),\n",
       "              (16873, 4.0),\n",
       "              (10951, 4.0),\n",
       "              (13367, 4.0),\n",
       "              (19187, 2.0),\n",
       "              (4575, 4.0),\n",
       "              (19472, 3.0),\n",
       "              (1759, 4.0),\n",
       "              (11991, 5.0),\n",
       "              (17366, 3.0),\n",
       "              (815, 5.0),\n",
       "              (16751, 5.0),\n",
       "              (41, 4.0),\n",
       "              (19164, 5.0),\n",
       "              (610, 5.0),\n",
       "              (6131, 2.0),\n",
       "              (6582, 3.0),\n",
       "              (4978, 5.0),\n",
       "              (19069, 4.0),\n",
       "              (15369, 3.0),\n",
       "              (8997, 4.0),\n",
       "              (18392, 3.0),\n",
       "              (20844, 3.0),\n",
       "              (6748, 4.0),\n",
       "              (7584, 3.0),\n",
       "              (19205, 3.0),\n",
       "              (2528, 4.0),\n",
       "              (8863, 4.0),\n",
       "              (19900, 4.0),\n",
       "              (13708, 4.0),\n",
       "              (14427, 5.0),\n",
       "              (5408, 4.0),\n",
       "              (2731, 4.0),\n",
       "              (516, 4.0),\n",
       "              (7770, 3.0),\n",
       "              (170, 4.0),\n",
       "              (14607, 4.0),\n",
       "              (10694, 3.0),\n",
       "              (8920, 5.0),\n",
       "              (11513, 3.0),\n",
       "              (11168, 2.0),\n",
       "              (8558, 4.0),\n",
       "              (6943, 4.0),\n",
       "              (12923, 4.0),\n",
       "              (14031, 1.0),\n",
       "              (1226, 5.0),\n",
       "              (907, 5.0),\n",
       "              (9911, 4.0),\n",
       "              (12790, 5.0),\n",
       "              (11493, 4.0),\n",
       "              (16282, 3.0),\n",
       "              (169, 4.0),\n",
       "              (3129, 3.0),\n",
       "              (3498, 4.0),\n",
       "              (6709, 4.0),\n",
       "              (5710, 2.0),\n",
       "              (12939, 5.0),\n",
       "              (9549, 2.0),\n",
       "              (9207, 4.0),\n",
       "              (13163, 4.0),\n",
       "              (11505, 4.0),\n",
       "              (19364, 4.0),\n",
       "              (15976, 4.0),\n",
       "              (3732, 3.0),\n",
       "              (4748, 5.0),\n",
       "              (11776, 4.0),\n",
       "              (18782, 4.0),\n",
       "              (11043, 4.0),\n",
       "              (9934, 4.0),\n",
       "              (8020, 5.0),\n",
       "              (12507, 4.0),\n",
       "              (3436, 3.0),\n",
       "              (19566, 4.0),\n",
       "              (10237, 5.0),\n",
       "              (11106, 3.0),\n",
       "              (15885, 3.0),\n",
       "              (2399, 3.0),\n",
       "              (15838, 5.0),\n",
       "              (11166, 3.0),\n",
       "              (20555, 4.0),\n",
       "              (327, 4.0),\n",
       "              (20152, 4.0),\n",
       "              (3814, 2.0),\n",
       "              (20274, 3.0),\n",
       "              (19902, 3.0),\n",
       "              (15940, 4.0),\n",
       "              (4322, 4.0),\n",
       "              (1996, 3.0),\n",
       "              (20263, 4.0),\n",
       "              (13056, 3.0),\n",
       "              (20448, 5.0),\n",
       "              (11806, 5.0),\n",
       "              (7889, 4.0),\n",
       "              (13937, 5.0),\n",
       "              (8887, 3.0),\n",
       "              (12443, 4.0),\n",
       "              (3824, 4.0),\n",
       "              (3604, 4.0),\n",
       "              (11636, 4.0),\n",
       "              (7124, 4.0),\n",
       "              (3366, 5.0),\n",
       "              (12080, 5.0),\n",
       "              (1769, 5.0),\n",
       "              (13689, 5.0),\n",
       "              (14603, 5.0),\n",
       "              (1656, 5.0),\n",
       "              (366, 3.0),\n",
       "              (14442, 4.0),\n",
       "              (18346, 5.0),\n",
       "              (5121, 4.0),\n",
       "              (1802, 5.0),\n",
       "              (11286, 4.0),\n",
       "              (18931, 3.0),\n",
       "              (11860, 4.0),\n",
       "              (19051, 5.0),\n",
       "              (3783, 4.0),\n",
       "              (15883, 4.0),\n",
       "              (3287, 4.0),\n",
       "              (4014, 4.0),\n",
       "              (7092, 4.0),\n",
       "              (4360, 4.0),\n",
       "              (5067, 3.0),\n",
       "              (16937, 3.0),\n",
       "              (3676, 4.0),\n",
       "              (4122, 5.0),\n",
       "              (12478, 3.0),\n",
       "              (16475, 4.0),\n",
       "              (15175, 4.0),\n",
       "              (14615, 4.0),\n",
       "              (14882, 3.0),\n",
       "              (9623, 5.0),\n",
       "              (17174, 4.0),\n",
       "              (8806, 3.0),\n",
       "              (2294, 4.0),\n",
       "              (17117, 4.0),\n",
       "              (2644, 4.0),\n",
       "              (15283, 3.0),\n",
       "              (742, 5.0),\n",
       "              (11227, 5.0),\n",
       "              (2973, 2.0),\n",
       "              (1736, 4.0),\n",
       "              (11257, 1.0),\n",
       "              (5413, 4.0),\n",
       "              (7590, 4.0),\n",
       "              (10806, 4.0),\n",
       "              (10769, 3.0),\n",
       "              (5772, 5.0),\n",
       "              (7307, 4.0),\n",
       "              (14126, 3.0),\n",
       "              (3666, 4.0),\n",
       "              (10096, 5.0),\n",
       "              (2512, 4.0)],\n",
       "             946: [(15152, 5.0),\n",
       "              (14443, 5.0),\n",
       "              (12890, 5.0),\n",
       "              (21206, 5.0),\n",
       "              (1998, 5.0),\n",
       "              (17313, 5.0),\n",
       "              (881, 5.0),\n",
       "              (510, 5.0),\n",
       "              (9524, 5.0),\n",
       "              (19957, 5.0),\n",
       "              (4435, 5.0),\n",
       "              (16299, 5.0),\n",
       "              (8682, 5.0),\n",
       "              (617, 5.0),\n",
       "              (1431, 5.0),\n",
       "              (3940, 5.0),\n",
       "              (8398, 5.0)],\n",
       "             947: [(11109, 5.0),\n",
       "              (15338, 5.0),\n",
       "              (504, 4.0),\n",
       "              (3309, 5.0),\n",
       "              (16490, 4.0),\n",
       "              (20149, 5.0),\n",
       "              (7765, 5.0),\n",
       "              (10041, 4.0),\n",
       "              (510, 5.0),\n",
       "              (392, 5.0),\n",
       "              (21310, 4.0),\n",
       "              (7339, 5.0),\n",
       "              (6936, 5.0),\n",
       "              (10949, 5.0),\n",
       "              (2158, 5.0),\n",
       "              (8053, 5.0),\n",
       "              (21134, 4.0),\n",
       "              (916, 5.0),\n",
       "              (126, 5.0),\n",
       "              (5443, 5.0),\n",
       "              (18082, 5.0),\n",
       "              (2774, 5.0),\n",
       "              (11087, 5.0),\n",
       "              (11195, 5.0),\n",
       "              (9524, 5.0),\n",
       "              (9564, 5.0),\n",
       "              (9026, 5.0),\n",
       "              (5364, 4.0),\n",
       "              (7230, 5.0),\n",
       "              (1282, 5.0),\n",
       "              (2967, 5.0),\n",
       "              (7027, 5.0),\n",
       "              (17735, 5.0),\n",
       "              (17707, 5.0),\n",
       "              (16286, 5.0),\n",
       "              (10730, 5.0),\n",
       "              (6037, 5.0),\n",
       "              (1785, 5.0),\n",
       "              (3940, 4.0),\n",
       "              (14765, 5.0),\n",
       "              (16299, 5.0),\n",
       "              (12573, 5.0),\n",
       "              (5867, 5.0)],\n",
       "             948: [(11748, 5.0),\n",
       "              (15027, 5.0),\n",
       "              (3682, 5.0),\n",
       "              (3173, 5.0),\n",
       "              (15210, 5.0),\n",
       "              (19430, 5.0),\n",
       "              (485, 5.0),\n",
       "              (12548, 5.0),\n",
       "              (521, 5.0),\n",
       "              (20613, 5.0),\n",
       "              (4391, 5.0),\n",
       "              (18865, 4.0),\n",
       "              (6867, 5.0),\n",
       "              (8894, 5.0),\n",
       "              (9985, 5.0),\n",
       "              (13748, 4.0),\n",
       "              (2968, 5.0),\n",
       "              (6949, 5.0),\n",
       "              (10738, 5.0),\n",
       "              (12178, 5.0),\n",
       "              (12238, 5.0),\n",
       "              (3343, 5.0),\n",
       "              (14452, 5.0),\n",
       "              (10170, 5.0),\n",
       "              (513, 5.0),\n",
       "              (13979, 5.0),\n",
       "              (219, 5.0),\n",
       "              (12149, 4.0),\n",
       "              (17081, 5.0),\n",
       "              (13944, 5.0),\n",
       "              (7950, 5.0),\n",
       "              (14094, 5.0),\n",
       "              (14992, 5.0),\n",
       "              (3537, 5.0),\n",
       "              (8476, 5.0),\n",
       "              (10550, 4.0),\n",
       "              (13639, 5.0),\n",
       "              (11582, 5.0)],\n",
       "             949: [(20073, 5.0),\n",
       "              (1398, 3.0),\n",
       "              (8642, 5.0),\n",
       "              (17837, 4.0),\n",
       "              (17447, 4.0),\n",
       "              (803, 4.0),\n",
       "              (13656, 3.0),\n",
       "              (9926, 4.0),\n",
       "              (10446, 5.0),\n",
       "              (1869, 4.0),\n",
       "              (18834, 5.0),\n",
       "              (19931, 3.0),\n",
       "              (12981, 3.0),\n",
       "              (8223, 4.0),\n",
       "              (8285, 3.0),\n",
       "              (18226, 5.0),\n",
       "              (11460, 4.0),\n",
       "              (1598, 4.0),\n",
       "              (14509, 5.0),\n",
       "              (8498, 4.0),\n",
       "              (789, 4.0),\n",
       "              (12574, 4.0),\n",
       "              (4639, 5.0),\n",
       "              (13588, 3.0),\n",
       "              (12535, 4.0),\n",
       "              (4314, 4.0),\n",
       "              (629, 5.0),\n",
       "              (5771, 4.0),\n",
       "              (11082, 4.0),\n",
       "              (5623, 3.0),\n",
       "              (10929, 4.0),\n",
       "              (893, 4.0),\n",
       "              (11855, 4.0),\n",
       "              (10250, 5.0),\n",
       "              (2442, 4.0),\n",
       "              (11270, 4.0),\n",
       "              (6043, 4.0),\n",
       "              (17189, 3.0),\n",
       "              (518, 4.0),\n",
       "              (3252, 4.0),\n",
       "              (8621, 4.0),\n",
       "              (5790, 5.0),\n",
       "              (2299, 4.0),\n",
       "              (1046, 5.0),\n",
       "              (672, 5.0),\n",
       "              (8731, 4.0),\n",
       "              (14629, 5.0),\n",
       "              (3867, 5.0),\n",
       "              (3577, 4.0),\n",
       "              (11937, 4.0),\n",
       "              (3686, 5.0),\n",
       "              (8682, 3.0),\n",
       "              (2445, 4.0),\n",
       "              (3314, 4.0)],\n",
       "             950: [(15903, 3.0), (14797, 4.0), (3918, 5.0), (8356, 5.0)],\n",
       "             951: [(19998, 4.0), (6767, 4.0), (3267, 4.0)],\n",
       "             952: [(7339, 5.0),\n",
       "              (9079, 5.0),\n",
       "              (20309, 5.0),\n",
       "              (18212, 5.0),\n",
       "              (15558, 4.0),\n",
       "              (20518, 5.0),\n",
       "              (28, 5.0),\n",
       "              (21267, 5.0),\n",
       "              (2774, 5.0),\n",
       "              (18833, 5.0),\n",
       "              (11284, 5.0),\n",
       "              (21109, 5.0),\n",
       "              (14196, 5.0),\n",
       "              (13075, 5.0),\n",
       "              (15830, 5.0),\n",
       "              (2394, 5.0),\n",
       "              (17475, 4.0),\n",
       "              (18442, 4.0),\n",
       "              (15081, 5.0),\n",
       "              (8122, 5.0),\n",
       "              (10444, 4.0),\n",
       "              (16258, 5.0),\n",
       "              (11916, 5.0),\n",
       "              (464, 5.0),\n",
       "              (10901, 5.0),\n",
       "              (7593, 4.0),\n",
       "              (11810, 5.0),\n",
       "              (13318, 5.0),\n",
       "              (16017, 5.0),\n",
       "              (6466, 5.0),\n",
       "              (19362, 5.0),\n",
       "              (15534, 5.0),\n",
       "              (718, 5.0),\n",
       "              (17031, 5.0),\n",
       "              (5382, 5.0),\n",
       "              (19121, 4.0)],\n",
       "             953: [(1718, 4.0)],\n",
       "             954: [(15111, 4.0),\n",
       "              (18922, 5.0),\n",
       "              (5977, 5.0),\n",
       "              (20164, 5.0),\n",
       "              (3808, 5.0),\n",
       "              (14803, 5.0),\n",
       "              (14637, 5.0),\n",
       "              (4476, 5.0),\n",
       "              (5170, 5.0),\n",
       "              (12483, 4.0),\n",
       "              (6173, 5.0)],\n",
       "             955: [(4109, 5.0),\n",
       "              (11404, 5.0),\n",
       "              (15949, 2.0),\n",
       "              (11150, 5.0),\n",
       "              (12963, 2.0),\n",
       "              (12372, 5.0),\n",
       "              (1180, 3.0),\n",
       "              (6339, 4.0),\n",
       "              (12669, 5.0),\n",
       "              (12702, 3.0),\n",
       "              (6116, 5.0),\n",
       "              (16984, 4.0),\n",
       "              (2144, 4.0),\n",
       "              (4936, 5.0),\n",
       "              (15389, 5.0),\n",
       "              (3505, 4.0),\n",
       "              (7460, 4.0),\n",
       "              (9053, 2.0),\n",
       "              (10921, 4.0),\n",
       "              (20332, 4.0),\n",
       "              (15119, 4.0),\n",
       "              (20696, 3.0),\n",
       "              (12442, 3.0)],\n",
       "             956: [(19991, 4.0),\n",
       "              (18112, 4.0),\n",
       "              (4452, 5.0),\n",
       "              (11881, 5.0),\n",
       "              (1454, 4.0),\n",
       "              (7498, 4.0),\n",
       "              (13075, 5.0),\n",
       "              (8169, 5.0),\n",
       "              (1070, 3.0)],\n",
       "             957: [(11811, 2.0), (17128, 2.0), (1574, 4.0), (7279, 5.0)],\n",
       "             958: [(15117, 5.0),\n",
       "              (10086, 4.0),\n",
       "              (162, 5.0),\n",
       "              (7930, 5.0),\n",
       "              (6835, 4.0),\n",
       "              (10932, 5.0),\n",
       "              (18992, 5.0),\n",
       "              (6282, 5.0),\n",
       "              (1463, 5.0),\n",
       "              (8079, 5.0),\n",
       "              (12825, 5.0)],\n",
       "             959: [(6987, 2.0), (679, 5.0), (7, 5.0)],\n",
       "             960: [(11015, 5.0),\n",
       "              (5373, 4.0),\n",
       "              (20263, 2.0),\n",
       "              (5956, 5.0),\n",
       "              (18942, 5.0),\n",
       "              (6654, 1.0),\n",
       "              (6611, 5.0)],\n",
       "             961: [(5503, 4.0), (18515, 5.0), (7165, 4.0), (18374, 5.0)],\n",
       "             962: [(10155, 4.0),\n",
       "              (14458, 2.0),\n",
       "              (7917, 4.0),\n",
       "              (4019, 3.0),\n",
       "              (19494, 3.0),\n",
       "              (11172, 4.0),\n",
       "              (14593, 5.0),\n",
       "              (3702, 4.0),\n",
       "              (10843, 5.0),\n",
       "              (7221, 5.0),\n",
       "              (1997, 4.0),\n",
       "              (845, 4.0),\n",
       "              (11720, 4.0),\n",
       "              (11874, 5.0),\n",
       "              (16085, 4.0),\n",
       "              (15422, 4.0),\n",
       "              (4158, 4.0)],\n",
       "             963: [(5596, 5.0),\n",
       "              (15499, 5.0),\n",
       "              (20292, 5.0),\n",
       "              (5978, 5.0),\n",
       "              (13842, 5.0),\n",
       "              (18094, 5.0),\n",
       "              (16596, 4.0),\n",
       "              (9828, 5.0),\n",
       "              (5823, 5.0),\n",
       "              (10281, 5.0)],\n",
       "             964: [(2444, 4.0),\n",
       "              (15715, 4.0),\n",
       "              (15593, 3.0),\n",
       "              (16119, 3.0),\n",
       "              (13170, 4.0),\n",
       "              (7367, 3.0),\n",
       "              (376, 3.0),\n",
       "              (9462, 4.0)],\n",
       "             965: [(6121, 4.0),\n",
       "              (4562, 5.0),\n",
       "              (11260, 4.0),\n",
       "              (15660, 1.0),\n",
       "              (16284, 5.0)],\n",
       "             966: [(5813, 4.0), (19733, 4.0), (18111, 4.0)],\n",
       "             967: [(1612, 5.0), (17846, 5.0), (8380, 5.0), (14957, 5.0)],\n",
       "             968: [(1890, 4.0),\n",
       "              (1959, 4.0),\n",
       "              (16805, 5.0),\n",
       "              (13898, 4.0),\n",
       "              (5757, 5.0),\n",
       "              (16819, 4.0),\n",
       "              (4804, 3.0),\n",
       "              (7154, 4.0),\n",
       "              (15529, 5.0),\n",
       "              (4731, 5.0),\n",
       "              (15186, 4.0),\n",
       "              (5124, 5.0),\n",
       "              (13105, 4.0),\n",
       "              (3108, 5.0),\n",
       "              (10003, 5.0),\n",
       "              (19586, 5.0),\n",
       "              (20613, 5.0),\n",
       "              (14452, 5.0),\n",
       "              (12691, 5.0),\n",
       "              (10187, 4.0),\n",
       "              (7019, 4.0),\n",
       "              (17863, 5.0),\n",
       "              (415, 5.0),\n",
       "              (4436, 5.0),\n",
       "              (11445, 3.0),\n",
       "              (12165, 5.0),\n",
       "              (9188, 4.0),\n",
       "              (12918, 5.0),\n",
       "              (917, 4.0),\n",
       "              (1718, 5.0),\n",
       "              (4443, 4.0),\n",
       "              (19829, 4.0),\n",
       "              (10718, 4.0),\n",
       "              (3295, 5.0),\n",
       "              (10305, 4.0),\n",
       "              (17081, 5.0),\n",
       "              (3941, 5.0),\n",
       "              (18686, 5.0),\n",
       "              (18883, 5.0),\n",
       "              (11778, 4.0),\n",
       "              (14183, 5.0),\n",
       "              (11717, 3.0),\n",
       "              (12004, 4.0),\n",
       "              (7346, 5.0),\n",
       "              (13280, 3.0),\n",
       "              (264, 4.0),\n",
       "              (16663, 5.0),\n",
       "              (6040, 5.0),\n",
       "              (21178, 4.0),\n",
       "              (12526, 5.0),\n",
       "              (16627, 4.0),\n",
       "              (6731, 5.0),\n",
       "              (5552, 4.0),\n",
       "              (3480, 5.0),\n",
       "              (4388, 5.0),\n",
       "              (6829, 5.0),\n",
       "              (6299, 4.0),\n",
       "              (20656, 4.0),\n",
       "              (5666, 5.0),\n",
       "              (1440, 5.0),\n",
       "              (12073, 5.0),\n",
       "              (9571, 4.0),\n",
       "              (242, 5.0),\n",
       "              (17321, 5.0),\n",
       "              (13541, 4.0),\n",
       "              (18865, 5.0)],\n",
       "             969: [(427, 3.0), (549, 3.0), (13521, 5.0), (7768, 1.0)],\n",
       "             970: [(8416, 5.0), (3208, 5.0), (7967, 5.0)],\n",
       "             971: [(14765, 3.0),\n",
       "              (5516, 5.0),\n",
       "              (13493, 5.0),\n",
       "              (3, 4.0),\n",
       "              (4092, 4.0),\n",
       "              (19661, 4.0),\n",
       "              (9108, 4.0),\n",
       "              (16353, 5.0),\n",
       "              (14187, 5.0),\n",
       "              (11673, 5.0),\n",
       "              (20073, 5.0),\n",
       "              (11833, 4.0),\n",
       "              (2692, 4.0),\n",
       "              (18097, 5.0),\n",
       "              (10972, 5.0),\n",
       "              (14043, 5.0),\n",
       "              (13743, 5.0),\n",
       "              (18443, 5.0),\n",
       "              (8223, 5.0),\n",
       "              (8731, 4.0),\n",
       "              (4071, 5.0),\n",
       "              (1548, 4.0),\n",
       "              (20514, 4.0),\n",
       "              (8246, 4.0),\n",
       "              (11019, 5.0),\n",
       "              (18336, 5.0)],\n",
       "             972: [(7282, 3.0),\n",
       "              (4596, 4.0),\n",
       "              (2232, 5.0),\n",
       "              (6360, 4.0),\n",
       "              (7367, 5.0)],\n",
       "             973: [(8267, 5.0), (9383, 5.0), (6183, 4.0)],\n",
       "             974: [(10685, 4.0),\n",
       "              (5212, 5.0),\n",
       "              (13334, 5.0),\n",
       "              (21083, 4.0),\n",
       "              (9381, 5.0),\n",
       "              (5960, 5.0),\n",
       "              (7806, 5.0),\n",
       "              (2246, 5.0)],\n",
       "             975: [(21214, 4.0), (6067, 4.0), (5171, 4.0)],\n",
       "             976: [(17099, 4.0),\n",
       "              (12713, 4.0),\n",
       "              (8669, 5.0),\n",
       "              (8421, 4.0),\n",
       "              (14672, 2.0),\n",
       "              (16691, 4.0),\n",
       "              (10080, 4.0),\n",
       "              (5126, 4.0),\n",
       "              (20069, 5.0),\n",
       "              (8994, 4.0),\n",
       "              (6901, 4.0),\n",
       "              (12849, 5.0),\n",
       "              (15884, 5.0),\n",
       "              (21097, 5.0),\n",
       "              (15775, 4.0),\n",
       "              (99, 4.0),\n",
       "              (4502, 4.0),\n",
       "              (11813, 4.0),\n",
       "              (3663, 5.0),\n",
       "              (6903, 4.0)],\n",
       "             977: [(19834, 3.0),\n",
       "              (12154, 4.0),\n",
       "              (17551, 5.0),\n",
       "              (4925, 5.0),\n",
       "              (9262, 2.0),\n",
       "              (2058, 5.0),\n",
       "              (18799, 5.0),\n",
       "              (1674, 2.0),\n",
       "              (385, 4.0),\n",
       "              (2042, 4.0)],\n",
       "             978: [(20011, 5.0),\n",
       "              (1132, 5.0),\n",
       "              (17675, 5.0),\n",
       "              (9273, 5.0),\n",
       "              (3635, 5.0),\n",
       "              (17564, 5.0),\n",
       "              (18664, 2.0)],\n",
       "             979: [(3594, 5.0),\n",
       "              (1797, 3.0),\n",
       "              (1959, 5.0),\n",
       "              (521, 3.0),\n",
       "              (4731, 5.0),\n",
       "              (15238, 5.0),\n",
       "              (6299, 5.0),\n",
       "              (16027, 5.0),\n",
       "              (20846, 5.0)],\n",
       "             980: [(9831, 5.0), (10483, 4.0), (10947, 3.0), (11407, 3.0)],\n",
       "             981: [(6709, 4.0), (19113, 4.0), (20722, 4.0)],\n",
       "             982: [(6098, 3.0),\n",
       "              (7585, 3.0),\n",
       "              (7599, 4.0),\n",
       "              (9039, 4.0),\n",
       "              (4575, 3.0),\n",
       "              (17485, 4.0)],\n",
       "             983: [(6948, 5.0),\n",
       "              (6896, 5.0),\n",
       "              (16576, 5.0),\n",
       "              (9467, 5.0),\n",
       "              (935, 5.0),\n",
       "              (12181, 5.0),\n",
       "              (5883, 5.0),\n",
       "              (15501, 5.0),\n",
       "              (16499, 4.0),\n",
       "              (235, 5.0),\n",
       "              (2780, 5.0),\n",
       "              (20982, 5.0),\n",
       "              (13817, 5.0),\n",
       "              (782, 4.0),\n",
       "              (6469, 5.0)],\n",
       "             984: [(13654, 4.0),\n",
       "              (18795, 4.0),\n",
       "              (10793, 4.0),\n",
       "              (251, 5.0),\n",
       "              (11603, 4.0)],\n",
       "             985: [(1005, 5.0),\n",
       "              (15654, 5.0),\n",
       "              (2488, 5.0),\n",
       "              (2694, 5.0),\n",
       "              (1365, 5.0),\n",
       "              (4577, 5.0),\n",
       "              (4333, 5.0),\n",
       "              (4311, 5.0),\n",
       "              (15115, 5.0),\n",
       "              (399, 5.0)],\n",
       "             986: [(2738, 4.0),\n",
       "              (2217, 4.0),\n",
       "              (13317, 4.0),\n",
       "              (2567, 3.0),\n",
       "              (8290, 3.0),\n",
       "              (13759, 3.0),\n",
       "              (13323, 4.0),\n",
       "              (912, 5.0),\n",
       "              (838, 4.0),\n",
       "              (13592, 2.0),\n",
       "              (11467, 4.0),\n",
       "              (16585, 4.0),\n",
       "              (2196, 4.0),\n",
       "              (15753, 4.0),\n",
       "              (16188, 4.0),\n",
       "              (4772, 3.0),\n",
       "              (317, 4.0),\n",
       "              (1706, 3.0),\n",
       "              (12811, 4.0),\n",
       "              (15791, 3.0),\n",
       "              (14219, 3.0),\n",
       "              (19515, 4.0),\n",
       "              (7631, 4.0),\n",
       "              (7478, 4.0),\n",
       "              (17008, 4.0),\n",
       "              (11306, 3.0),\n",
       "              (20076, 4.0),\n",
       "              (3687, 5.0),\n",
       "              (4980, 4.0),\n",
       "              (3112, 4.0)],\n",
       "             987: [(12181, 4.0),\n",
       "              (9513, 5.0),\n",
       "              (5871, 5.0),\n",
       "              (19954, 5.0),\n",
       "              (16576, 5.0),\n",
       "              (8155, 4.0),\n",
       "              (4811, 5.0)],\n",
       "             988: [(17115, 5.0), (1565, 5.0), (3517, 5.0), (20690, 5.0)],\n",
       "             989: [(9074, 5.0),\n",
       "              (14339, 3.0),\n",
       "              (12668, 5.0),\n",
       "              (12369, 5.0),\n",
       "              (591, 4.0)],\n",
       "             990: [(13662, 5.0), (12534, 5.0), (4476, 5.0)],\n",
       "             991: [(4152, 5.0),\n",
       "              (5152, 5.0),\n",
       "              (15939, 5.0),\n",
       "              (19686, 3.0),\n",
       "              (12939, 4.0),\n",
       "              (4029, 2.0),\n",
       "              (15270, 3.0),\n",
       "              (2360, 5.0),\n",
       "              (8826, 4.0),\n",
       "              (6066, 3.0),\n",
       "              (4651, 5.0),\n",
       "              (8334, 3.0),\n",
       "              (17635, 4.0),\n",
       "              (17847, 2.0),\n",
       "              (14918, 5.0),\n",
       "              (11300, 4.0),\n",
       "              (20377, 5.0),\n",
       "              (12382, 4.0),\n",
       "              (9874, 5.0),\n",
       "              (20034, 3.0),\n",
       "              (12519, 4.0),\n",
       "              (10402, 1.0),\n",
       "              (8397, 3.0),\n",
       "              (3069, 4.0),\n",
       "              (8167, 5.0),\n",
       "              (8875, 1.0),\n",
       "              (8510, 3.0),\n",
       "              (12476, 4.0),\n",
       "              (7561, 3.0),\n",
       "              (18327, 3.0),\n",
       "              (16273, 5.0),\n",
       "              (9648, 3.0),\n",
       "              (18443, 5.0),\n",
       "              (10962, 5.0),\n",
       "              (18921, 4.0),\n",
       "              (5939, 4.0),\n",
       "              (5994, 4.0),\n",
       "              (15502, 4.0),\n",
       "              (1121, 4.0),\n",
       "              (14406, 5.0),\n",
       "              (2254, 5.0),\n",
       "              (11044, 1.0),\n",
       "              (4861, 5.0),\n",
       "              (8777, 3.0),\n",
       "              (5695, 4.0),\n",
       "              (6873, 4.0),\n",
       "              (9177, 3.0),\n",
       "              (20525, 3.0),\n",
       "              (6709, 5.0),\n",
       "              (15033, 5.0),\n",
       "              (12065, 3.0),\n",
       "              (4157, 4.0),\n",
       "              (9012, 3.0),\n",
       "              (3864, 3.0),\n",
       "              (11549, 4.0),\n",
       "              (1452, 2.0),\n",
       "              (20905, 3.0),\n",
       "              (3896, 5.0),\n",
       "              (7419, 1.0),\n",
       "              (14563, 2.0),\n",
       "              (18658, 4.0),\n",
       "              (5021, 4.0),\n",
       "              (336, 4.0),\n",
       "              (236, 4.0),\n",
       "              (3201, 4.0),\n",
       "              (11661, 5.0),\n",
       "              (12790, 5.0),\n",
       "              (19630, 4.0),\n",
       "              (20074, 4.0),\n",
       "              (6897, 5.0),\n",
       "              (18978, 3.0),\n",
       "              (6634, 5.0),\n",
       "              (11474, 4.0),\n",
       "              (1261, 1.0),\n",
       "              (12612, 1.0),\n",
       "              (19595, 4.0),\n",
       "              (4586, 5.0),\n",
       "              (17150, 4.0),\n",
       "              (10665, 5.0),\n",
       "              (13763, 5.0),\n",
       "              (17790, 5.0),\n",
       "              (10586, 3.0),\n",
       "              (7205, 2.0),\n",
       "              (10111, 4.0),\n",
       "              (12407, 3.0),\n",
       "              (18971, 2.0),\n",
       "              (12216, 2.0),\n",
       "              (7507, 4.0),\n",
       "              (5888, 3.0),\n",
       "              (15057, 3.0),\n",
       "              (10936, 4.0),\n",
       "              (12258, 5.0),\n",
       "              (15487, 4.0),\n",
       "              (13439, 4.0),\n",
       "              (17418, 4.0),\n",
       "              (11162, 4.0),\n",
       "              (14426, 5.0),\n",
       "              (11712, 5.0),\n",
       "              (6237, 3.0),\n",
       "              (6368, 3.0),\n",
       "              (14615, 4.0),\n",
       "              (20793, 2.0),\n",
       "              (15574, 4.0),\n",
       "              (13373, 5.0),\n",
       "              (13057, 5.0),\n",
       "              (9456, 4.0),\n",
       "              (1575, 1.0),\n",
       "              (18129, 3.0),\n",
       "              (5190, 2.0),\n",
       "              (3026, 5.0),\n",
       "              (1015, 2.0),\n",
       "              (7631, 5.0),\n",
       "              (16145, 2.0),\n",
       "              (15782, 4.0),\n",
       "              (4387, 4.0),\n",
       "              (18889, 2.0),\n",
       "              (15976, 3.0),\n",
       "              (8267, 3.0),\n",
       "              (19196, 5.0),\n",
       "              (509, 5.0),\n",
       "              (15694, 4.0),\n",
       "              (11232, 5.0),\n",
       "              (19139, 4.0),\n",
       "              (11559, 4.0),\n",
       "              (2721, 5.0),\n",
       "              (2861, 4.0),\n",
       "              (14791, 4.0),\n",
       "              (7060, 4.0),\n",
       "              (10777, 5.0),\n",
       "              (3416, 2.0),\n",
       "              (3397, 3.0),\n",
       "              (6654, 3.0),\n",
       "              (16417, 5.0),\n",
       "              (12477, 4.0),\n",
       "              (2065, 4.0),\n",
       "              (7442, 4.0),\n",
       "              (7438, 1.0),\n",
       "              (13511, 5.0),\n",
       "              (14529, 4.0),\n",
       "              (14622, 4.0),\n",
       "              (14911, 2.0),\n",
       "              (12911, 2.0),\n",
       "              (3791, 5.0),\n",
       "              (10630, 5.0),\n",
       "              (4699, 1.0),\n",
       "              (19089, 3.0),\n",
       "              (14501, 4.0),\n",
       "              (6338, 3.0),\n",
       "              (12559, 2.0),\n",
       "              (18803, 3.0),\n",
       "              (15174, 4.0),\n",
       "              (2080, 2.0),\n",
       "              (9184, 5.0),\n",
       "              (13403, 4.0),\n",
       "              (1216, 2.0),\n",
       "              (3172, 4.0),\n",
       "              (10198, 4.0),\n",
       "              (13507, 3.0),\n",
       "              (3970, 3.0),\n",
       "              (6586, 3.0),\n",
       "              (15887, 4.0),\n",
       "              (1656, 5.0),\n",
       "              (8874, 3.0),\n",
       "              (16150, 1.0),\n",
       "              (8570, 4.0),\n",
       "              (2426, 3.0),\n",
       "              (9766, 2.0),\n",
       "              (9835, 4.0),\n",
       "              (2750, 3.0),\n",
       "              (17366, 1.0),\n",
       "              (1466, 3.0),\n",
       "              (12811, 3.0),\n",
       "              (13372, 4.0),\n",
       "              (7198, 2.0),\n",
       "              (14461, 5.0),\n",
       "              (6702, 1.0),\n",
       "              (7571, 2.0),\n",
       "              (20389, 2.0),\n",
       "              (6762, 4.0),\n",
       "              (15576, 4.0),\n",
       "              (17399, 4.0),\n",
       "              (6648, 3.0),\n",
       "              (8218, 4.0),\n",
       "              (2893, 4.0),\n",
       "              (14903, 4.0),\n",
       "              (12999, 3.0),\n",
       "              (19706, 4.0),\n",
       "              (13858, 1.0),\n",
       "              (11603, 4.0),\n",
       "              (8391, 2.0),\n",
       "              (11242, 2.0),\n",
       "              (17441, 4.0),\n",
       "              (20992, 1.0),\n",
       "              (9562, 4.0),\n",
       "              (5325, 4.0),\n",
       "              (10737, 3.0),\n",
       "              (20199, 1.0),\n",
       "              (21188, 1.0),\n",
       "              (16873, 3.0),\n",
       "              (61, 4.0),\n",
       "              (10161, 4.0),\n",
       "              (1197, 2.0),\n",
       "              (9333, 1.0),\n",
       "              (5961, 3.0),\n",
       "              (17295, 4.0),\n",
       "              (18331, 3.0),\n",
       "              (10041, 4.0),\n",
       "              (18945, 5.0),\n",
       "              (4929, 5.0),\n",
       "              (9330, 2.0),\n",
       "              (4575, 4.0),\n",
       "              (17913, 4.0),\n",
       "              (19381, 3.0),\n",
       "              (12307, 5.0),\n",
       "              (2582, 2.0),\n",
       "              (13855, 2.0),\n",
       "              (9321, 4.0),\n",
       "              (3347, 4.0),\n",
       "              (20953, 5.0),\n",
       "              (15014, 4.0),\n",
       "              (8051, 5.0),\n",
       "              (709, 5.0),\n",
       "              (8955, 4.0),\n",
       "              (15097, 2.0),\n",
       "              (11539, 1.0),\n",
       "              (7646, 4.0),\n",
       "              (9273, 3.0),\n",
       "              (2931, 5.0),\n",
       "              (18786, 4.0),\n",
       "              (20257, 4.0),\n",
       "              (5318, 3.0),\n",
       "              (1716, 2.0),\n",
       "              (7686, 5.0),\n",
       "              (6272, 3.0),\n",
       "              (8174, 4.0),\n",
       "              (702, 5.0)],\n",
       "             992: [(15584, 5.0), (11532, 5.0), (18189, 5.0), (1081, 5.0)],\n",
       "             993: [(19059, 4.0), (10577, 5.0), (9913, 4.0)],\n",
       "             994: [(4565, 5.0),\n",
       "              (14157, 5.0),\n",
       "              (8054, 5.0),\n",
       "              (15686, 4.0),\n",
       "              (11524, 4.0),\n",
       "              (11749, 3.0),\n",
       "              (2660, 4.0),\n",
       "              (14411, 5.0)],\n",
       "             995: [(7108, 4.0),\n",
       "              (12530, 3.0),\n",
       "              (12495, 3.0),\n",
       "              (14456, 5.0),\n",
       "              (19178, 3.0)],\n",
       "             996: [(15439, 5.0),\n",
       "              (14184, 4.0),\n",
       "              (8787, 5.0),\n",
       "              (18294, 4.0),\n",
       "              (3131, 5.0),\n",
       "              (16716, 4.0),\n",
       "              (20418, 4.0),\n",
       "              (13438, 3.0),\n",
       "              (8062, 4.0),\n",
       "              (5720, 5.0),\n",
       "              (15653, 4.0),\n",
       "              (19938, 4.0),\n",
       "              (19868, 5.0),\n",
       "              (6706, 2.0),\n",
       "              (3690, 4.0),\n",
       "              (5886, 3.0),\n",
       "              (19587, 4.0),\n",
       "              (20765, 4.0),\n",
       "              (5122, 3.0),\n",
       "              (1428, 5.0),\n",
       "              (16580, 4.0),\n",
       "              (7820, 4.0),\n",
       "              (13993, 4.0),\n",
       "              (10926, 4.0),\n",
       "              (17838, 3.0),\n",
       "              (2779, 3.0),\n",
       "              (8639, 5.0),\n",
       "              (12076, 5.0),\n",
       "              (5686, 2.0),\n",
       "              (681, 5.0),\n",
       "              (4898, 4.0),\n",
       "              (20108, 3.0),\n",
       "              (2961, 4.0),\n",
       "              (19483, 5.0),\n",
       "              (20332, 5.0),\n",
       "              (1431, 5.0),\n",
       "              (863, 3.0),\n",
       "              (4172, 3.0),\n",
       "              (17919, 4.0),\n",
       "              (17201, 3.0),\n",
       "              (2817, 4.0),\n",
       "              (1137, 3.0),\n",
       "              (2379, 3.0),\n",
       "              (20404, 5.0),\n",
       "              (6879, 5.0),\n",
       "              (6167, 4.0),\n",
       "              (9085, 5.0),\n",
       "              (15002, 4.0),\n",
       "              (7347, 4.0),\n",
       "              (15545, 4.0),\n",
       "              (1033, 5.0),\n",
       "              (15216, 4.0)],\n",
       "             997: [(20974, 4.0),\n",
       "              (3475, 5.0),\n",
       "              (685, 1.0),\n",
       "              (20161, 2.0),\n",
       "              (136, 3.0),\n",
       "              (10476, 4.0),\n",
       "              (11506, 4.0),\n",
       "              (11388, 5.0)],\n",
       "             998: [(3893, 3.0),\n",
       "              (8634, 4.0),\n",
       "              (21316, 3.0),\n",
       "              (10547, 4.0),\n",
       "              (5231, 4.0)],\n",
       "             999: [(13842, 5.0),\n",
       "              (15661, 5.0),\n",
       "              (5596, 5.0),\n",
       "              (9907, 5.0),\n",
       "              (6358, 4.0)],\n",
       "             ...})"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ubr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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